Authors

  • Adhamjon Xudoyqulov
    Nukus State Technical University
  • Guvanch Davletov
    Nukus State Technical University
  • Seitnazarov Kuanishbay
    Nukus State Technical University

DOI:

https://doi.org/10.71337/inlibrary.uz.ijai.128283

Abstract

Textual data from sources such as social media, messaging, and OCR often contain problematic elements – they are noisy, ambiguous, or incomplete – posing challenges for traditional natural language processing (NLP) techniques. This paper presents a hybrid neuro-fuzzy modeling approach to robustly process such problematic text data. We combine fuzzy logic’s strength in handling uncertainty and imprecision with neural networks’ learning capability to create a software system that can normalize noisy text, interpret ambiguous language, and make reliable decisions even with incomplete information. We outline the architecture of the proposed system, which integrates fuzzy inference modules (capturing expert linguistic rules and similarity measures) with trainable neural network components that adapt these rules to data. Practical examples demonstrate how the system corrects slang and spelling variations and resolves ambiguities in context.

 

 

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DEVELOPMENT OF A SOFTWARE PACKAGE FOR PROBLEMATIC TEXT DATA

BASED ON NEURO-FUZZY MODELING

Xudoyqulov Adhamjon Sunnatullo o'g'li

Nukus State Technical University

E-mail:

Barlosuser00@gmail.com

Davletov Guvanch Atajanovich

Nukus State Technical University

E-mail:

dga.061984@gmail.com

Scientific advisor:

Kuanishbay Kenesbayevich Seitnazarov

,

Doctor of Technical Sciences, Professor.

Abstract:

Textual data from sources such as social media, messaging, and OCR often

contain problematic elements – they are noisy, ambiguous, or incomplete – posing challenges

for traditional natural language processing (NLP) techniques. This paper presents a

hybrid

neuro-fuzzy

modeling approach to robustly process such problematic text data. We

combine fuzzy logic’s strength in handling uncertainty and imprecision with neural networks’

learning capability to create a software system that can normalize noisy text, interpret

ambiguous language, and make reliable decisions even with incomplete information. We

outline the architecture of the proposed system, which integrates fuzzy inference modules

(capturing expert linguistic rules and similarity measures) with trainable neural network

components that adapt these rules to data. Practical examples demonstrate how the system

corrects slang and spelling variations and resolves ambiguities in context.

Keywords:

neuro-fuzzy modeling, fuzzy logic, noisy text processing, text normalization,

natural language processing (nlp), text classification, interpretability.

Introduction

Textual data encountered in real-world applications is often far from clean or well-

structured.

Noisy text data

– characterized by misspellings, typos, slang, and other

irregularities – has emerged as a key challenge for NLP systems. Modern communication media

like SMS, chats, and social networks encourage informal language and brevity, leading to non-

canonical text that deviates from standard grammar and spelling. This noise can dramatically

degrade the performance of language models and classifiers. For example, Bagla et al. (2021)

showed that as little as 5–10% character-level noise (random typos) in input data causes

significant drops in accuracy across tasks like classification, question answering, and named

entity recognition. In one benchmark, injecting 10% typos reduced BERT’s accuracy from

roughly 72% to 55%, underscoring how fragile traditional NLP models can be to noisy text.

Aside from noise, textual data can be

ambiguous

– words or phrases may have multiple

interpretations or unclear references – and often

incomplete

, as in terse user queries or

fragmentary sentences. Human communication frequently omits context or assumes shared

knowledge, making it difficult for rigid algorithms to parse the intended meaning.

Researchers have long recognized these issues. Early studies examined how specific

noise types affect NLP: e.g., Taghva et al. (2000) found that OCR errors impair text


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classification, while Agarwal et al. (2007) and Subramaniam et al. (2009) surveyed the impact

of various noise kinds (spelling errors, missing punctuation, etc.) and techniques to handle them.

Common strategies for noisy text processing include data cleaning (normalization) and

designing robust models. Rule-based text normalization methods can map non-standard words

to their standard forms (e.g., “u” → “you”, “4get” → “forget”). For instance, a recent study

normalized Malay social-media text by combining Levenshtein distance (for spelling correction)

with rule-based slang replacement, achieving about 80% conversion of noisy words to standard

words. However, purely rule-based solutions often struggle to cover the open-ended variety of

noise in user-generated content. On the other hand, purely statistical or neural models, while

data-driven, tend to treat noise as just another variation – which can confuse learning and

degrade accuracy if not explicitly addressed.

In this context,

fuzzy logic

offers an attractive way to handle uncertainty and vagueness

in text. Fuzzy set theory allows an item (e.g., a word or a document) to belong to multiple

categories or have multiple interpretations with graded membership values between 0 and 1.

This is very suitable for language, where a word might partially match a slang dictionary entry,

or a sentence might belong to more than one intent category. Traditional classification assigns

each example to one class (crisp decision), but in practice, overlapping classes are common,

especially in text domain. For example, a forum post might be both a question and a complaint,

or a movie review might be “somewhat positive”. Fuzzy approaches enable representing such

overlaps: a text can belong to several classes with certain degrees of membership.

Bodyanskiy et al. (2012) noted that text annotation tasks often produce “fuzzy situations”

requiring flexible classification beyond crisp yes/no assignment. Fuzzy semantic similarity

measures and fuzzy ontologies have also been explored to better capture partial matches in

meaning, reflecting the inherently gradational nature of human language.

To leverage fuzzy logic in an adaptive, data-driven way, hybrid

neuro-fuzzy

systems

have been proposed in prior work. A neuro-fuzzy system integrates a fuzzy inference

mechanism with neural network training algorithms. The neural component tunes the

parameters of the fuzzy system (such as membership functions and rule weights) based on data,

rather than relying solely on manual rules. This synergy can yield models that handle imprecise

linguistic inputs while still learning from examples. Indeed, neuro-fuzzy models have been

applied to various NLP tasks over the years. Early examples include adaptive neuro-fuzzy

classifiers for document categorization and sentiment analysis. Rustamov and colleagues, for

instance, developed neuro-fuzzy approaches for sentiment analysis and subjectivity detection

around 2012–2013. Aida-Zade et al. (2018) applied an Adaptive Neuro-Fuzzy Inference System

(ANFIS) to sentence-level sentiment classification and call-center intent detection, achieving

accuracy (~92%) on par with or better than classical machine learning methods. More recently,

Vashishtha & Susan (2021) introduced MultiLexANFIS, a neuro-fuzzy network for social

media sentiment analysis that ingests multiple lexicon-based features. Their system could

effectively handle the “fuzziness” of informal language and outperformed not only baseline

fuzzy models but also some deep learning models on tweet sentiment benchmarks. Such results

suggest that neuro-fuzzy hybrids can combine the interpretability and domain knowledge of

fuzzy systems with the pattern-learning strength of neural networks, yielding robust

performance. In general, the field has seen a resurgence of interest in

deep neuro-fuzzy

systems

as a way to build more transparent AI – addressing the “black-box” nature of deep

learning by embedding understandable fuzzy rules. Liu et al. (2024) provide a comprehensive


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survey of efforts to fuse fuzzy theory with NLP, noting both the promise of this fusion and

challenges like scalability and integration with modern large-scale neural architectures.

Our contribution in this paper

is a novel neuro-fuzzy software system tailored for processing

problematic textual data. We focus on texts that are noisy (containing misspellings, informal

abbreviations, etc.), ambiguous (having uncertain or multiple interpretations),

or incomplete (lacking context or grammatical completeness). The system is designed to

perform end-to-end processing: from cleaning and normalizing the text, through to analyzing or

classifying it, within a unified neuro-fuzzy framework. In the following sections, we first

review related work in more detail, then describe the architecture and methodology of our

proposed system. We provide illustrative examples of the system in action on complex text

cases, and we present experimental evaluations on benchmark datasets with injected and real

noise. We then discuss the findings – how the neuro-fuzzy approach improves robustness and

what trade-offs it entails – and outline potential improvements. Finally, we conclude that neuro-

fuzzy modeling is a promising approach to bridge the gap between rule-based and statistical

NLP for handling messy real-world text.

Methodology

System Architecture Overview

Our proposed software system follows a

pipeline architecture

with tightly integrated neuro-

fuzzy components. Figure 1 illustrates the major components and data flow in the system (from

input text to final output). The architecture is divided into two primary stages: a Fuzzy Text

Preprocessor and a Neuro-Fuzzy Inference Engine.

Fuzzy Text Preprocessor:

This module receives raw text and performs normalization

and feature extraction using fuzzy logic principles. Instead of hard rules that transform

text outright, we use fuzzy matching and gradual scoring. For example, when

encountering an out-of-vocabulary token, the preprocessor computes its similarity to

known words using a fuzzy string matching metric (such as normalized edit distance).

The result is a set of candidate standard words with membership scores indicating how

likely each candidate is the intended word. Misspellings are thus handled by providing a

fuzzy set of possible corrections rather than a single best guess. Similarly, for slang or

abbreviations, the preprocessor may consult a slang dictionary where each entry has a

set of known variants. If a token partially matches a slang term, a fuzzy membership

degree is assigned (e.g., “luv” might have 0.9 membership in the set {“love”} for

sentiment lexicon). In addition to word-level normalization, the preprocessor extracts

features like

noise level indicators

: e.g., the proportion of characters in the text that are

non-alphabetic, or the fraction of words that are OOV (out-of-vocabulary). These are

numeric features that reflect how noisy or irregular the text is. We fuzzify these features

by defining linguistic categories (LOW, MEDIUM, HIGH noise) with appropriate

membership functions. For instance, if 40% of words are OOV, that might give a

“Noise=HIGH” membership of 0.7. Some domain-specific features are also included;

for example, in a social media context, the presence of elongated words (“cooool”) or

excessive punctuation (“!!!”) is a clue to emotional tone – we capture this by a fuzzy

feature like EmphasisDegree.

Neuro-Fuzzy Inference Engine:

The core of the system is a multi-layer neuro-fuzzy

network that takes the fuzzy features (and partially normalized text) from the


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preprocessor and produces the final analysis or decision. We have adopted an

ANFIS-

like architecture

, customized for textual data. Internally, the engine consists of:

1.

Input Layer (Layer 1 – Fuzzification):

Nodes in this layer represent the input

linguistic variables and their fuzzy membership functions. The numeric features

(e.g., noise level, emphasis degree, sentiment lexicon scores) are fed in, and

membership values are computed for each relevant fuzzy set. For example, an

input “percentage of misspelled words = 20%” might yield a membership of 0.4

in LOW-noise and 0.6 in MEDIUM-noise fuzzy sets, and 0 in HIGH-noise.

2.

Rule Layer (Layer 2 – Fuzzy Rule Evaluation):

Each node in this layer

corresponds to a fuzzy rule. We formulate a rule base that combines various

conditions about the text. An example rule could be: “IF NoiseLevel is HIGH

AND ContainsPositiveSlang is TRUE THEN SentimentConfidence is LOW” –

meaning if a text is very noisy but has some positive slang words, we remain

uncertain (low confidence) about positive sentiment. The antecedents of rules

are fuzzy conditions on inputs (which can be truth-valued in [0,1]), and the node

computes the firing strength of each rule by combining the antecedent

memberships (typically using a fuzzy AND = minimum or product operation). In

our implementation we use the product for AND and allow multiple antecedents.

3.

Normalization Layer (Layer 3):

Because multiple rules may fire to different

degrees, this layer normalizes the firing strengths across all rules. Each rule’s

strength is divided by the sum of strengths of all rules, so that they effectively

form a weighted average in influencing the outcome. This ensures stability in the

inference, akin to producing a probability distribution over rule activations.

4.

Defuzzification/Output Layer (Layers 4 & 5):

In a traditional ANFIS for

regression, these layers compute each rule’s output (a linear function of inputs)

weighted by the normalized firing strength, and then sum them up. In our design,

the output of the system can be of two types depending on the application: (a)

a class label or distribution (for classification tasks), or (b) a transformed

text (for a text normalization task). For classification, we use a softmax-like

defuzzification: each class has an output node that aggregates evidence from

rules supporting that class. The final outputs are membership levels for each

class (these can be interpreted as confidence scores for each category). For text

transformation tasks, the output might be a set of suggested normalized tokens.

We implement this by having rules that suggest specific tokens – for instance, a

rule might vote that “ur” should be “your” if certain context conditions hold. The

outputs in that case are a weighted list of token corrections.

What makes this a

neuro-fuzzy

system rather than a pure fuzzy expert system is that many of

the parameters above are learnable from data. The membership function shapes in Layer 1 (e.g.,

the exact thresholds for “HIGH noise”) are tuned during training. The rules in Layer 2 are

initialized based on expert knowledge (or even generated from data patterns), but their

consequent parameters (which determine how strongly a rule indicates a certain output) are also

adjustable. We use a hybrid learning algorithm: gradient descent is applied to the differentiable

parts (membership function parameters), and a least-squares solver is used for linear consequent

parameters, similar to standard ANFIS training. We train the system on a dataset of input texts

with known target outputs (e.g. known true normalized text or known class labels), thereby

optimizing it to handle real-world noise patterns.


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Evaluation Metrics:

For classification, we report standard accuracy, precision, recall,

and F1-score. We pay special attention to performance at different noise levels (0%, 5%, 10%

noise). For normalization, we use word-level accuracy (how many slang/typo tokens are

correctly normalized) and the BLEU score between the system’s output and the reference

cleaned text, as used in the LexNorm challenge. We also conduct a qualitative evaluation of

interpretability: measuring how often the neuro-fuzzy system can provide a correct explanation

(in terms of which rules fired) for its predictions, by manually examining a sample of outputs.

Results

Robustness to Noise in Classification:

The neuro-fuzzy system demonstrated

significantly improved resilience to noisy text compared to the deep learning baseline. Table 1

summarizes sentiment classification accuracy on the IMDB reviews with varying noise rates:

Model

Clean (0% noise) 5% noise 10% noise

BERT fine-tuned

94.5%

90.0%

84.9%

BERT + rule precleaning 94.0%

91.2%

87.0%

Neuro-Fuzzy (ours)

93.8%

92.5%

88.3%

Table 1: Sentiment classification accuracy on IMDB with synthetic noise. (BERT results for

noise levels are from our experiments, aligned with trends reported by Bagla et al. (2021).)

We see that on clean data, all models perform similarly (~94% accuracy). But as noise

increases, vanilla BERT drops to 84.9%, whereas our neuro-fuzzy model still achieves 88.3% at

10% noise – a

4-5 point improvement

, corresponding to roughly 25% fewer errors compared

to BERT. The rule-based precleaning also helped BERT (87.0%), but it underperforms the

neuro-fuzzy approach, likely because our model can learn to correct or accommodate errors that

the fixed rules did not anticipate. These results support our claim that explicitly modeling noise

and ambiguity through fuzzy logic yields a more noise-robust classifier. The SVM baseline (not

shown in the table) started around 88% on clean data and fell to ~80% at 10% noise, indicating

that traditional ML is even more sensitive to noise unless features are carefully normalized.

On the Twitter sentiment dataset (which contained organic noise like hashtags,

abbreviations), we observed a similar pattern. Our method achieved an F1-score of 0.82,

compared to 0.74 for BERT when both were trained on noisy tweets. Particularly, in cases with

heavy slang, the neuro-fuzzy model often correctly gauged sentiment where BERT

misclassified. For example, a tweet: "happy bday bro.. u r da best!!" was classified as positive

by our system (fuzzy matching “bday”→ birthday, “da”→the, and recognizing “happy” and

“best” as positive signals), whereas BERT tuned on standard data struggled with “bday” and

“da” being OOV and predicted non-positive.

Spam Detection and Intent Classification:

In the SMS spam dataset, our approach also

excelled at catching spam messages that use obfuscation. Many spam texts deliberately insert

special

characters

or

funky

spelling

to

evade

filters

(e.g.,

“W1n now!!!”).Theneuro−fuzzysystem’srulebaseincludedpatternsforsuchobfuscation(likeafuzz

yregexforwordslike“win”withnumbersreplacingletters).Itachieved99.0now!!!”).Theneuro−fuzzy


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system’srulebaseincludedpatternsforsuchobfuscation(likeafuzzyregexforwordslike“win”withnu

mbersreplacingletters).Itachieved99.0” or “credit card”) could be cross-checked, and if context

was lacking, the system held back from a full “spam” classification (outputting moderate

membership to spam). This showcases the benefit of having a graded output – the system can

express uncertainty. A message like “Call now to claim your prize 100% free” gets a spam

score of 0.9 (very likely spam) due to multiple fuzzy cues, whereas “This is 100% legit, call

me” might only score 0.4 as spam because, though it has “100%”, other spam indicators are

absent.

In the intent classification of short queries (like Example 2 earlier), we evaluated on a

small custom dataset of chatbot queries (1000 examples across 5 intent categories). Our model

achieved an overall accuracy of 88%, outperforming a purely neural classifier at 81%. Notably,

for the most ambiguous queries (single-word or two-word inputs), the neuro-fuzzy system was

correct 75% of the time vs 60% for the neural model. This is a significant improvement in a

high-ambiguity regime. The fuzzy rules helped by leveraging context like whether the word

was an imperative verb or a noun, etc., whereas the neural model often had to guess from an

embedding alone.

Discussion

The above results and examples demonstrate the viability of neuro-fuzzy modeling for

problematic text data. In this section, we discuss key observations, limitations of the current

system, and potential improvements.

Robustness and Generalization:

One of the most positive findings is the robustness of the

system to diverse noise. By explicitly modeling uncertainties (e.g., whether “guuud” means

“good” with 0.8 confidence), the system doesn’t commit to a wrong interpretation too early.

Instead, multiple hypotheses can be carried through via fuzzy memberships. This proved

beneficial when noise was present in forms not seen in training – the fuzzy logic provided a

form of built-in generalization by handling “similar” inputs similarly. For example, even if

“loooove” (with 4 ‘o’s) was not seen in training, the rule for elongated “love” with any number

of ‘o’s still catches it. In contrast, a pure neural model might not connect “love” and “loooove”

strongly unless it saw many examples. This suggests that incorporating domain knowledge

through fuzzy rules can make NLP models more data-efficient on noisy domains. Our system

needed smaller training data for similar performance, because the fuzzy rules already

encapsulated some patterns (a form of inductive bias).

Interpretability vs. Accuracy Trade-off:

While our approach achieved “reasonable

accuracy with high interpretability” as intended, there is often a trade-off between these aspects.

Pure deep models could potentially surpass our model’s accuracy if given very large training

corpora (especially on clean text). We consciously chose to accept a slight accuracy hit on clean

data in exchange for robustness and interpretability. For instance, our best clean accuracy on

IMDB (93.8%) was marginally below BERT’s (94.5%). But on noisy data, we overtook BERT

by a good margin. In applications where noise is expected, this trade-off is worthwhile.

However, if an application domain always has perfectly edited text (e.g., formal news articles),

a simpler deep model might suffice. A potential future direction is to combine the power of

transformers with fuzzy logic – e.g., use BERT embeddings as inputs to a fuzzy layer – to see if

we can get the best of both: high raw accuracy and noise handling.

Limitations:

Despite its strengths, our system has limitations. One limitation is

the

reliance on a predefined fuzzy rule base and features

. We observed that performance and

coverage are only as good as the rules/features we supply. For languages or domains with very


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different slang or noise patterns, an expert would need to craft new rules or lexicons. This

knowledge engineering aspect could be time-consuming. The system does learn and adjust

parameters, but if a phenomenon is not represented in any initial rule or feature, the network

alone may not invent it. For example, if a particular type of obfuscation (say, alternating

uppercase/lowercase to evade filters) was not in our feature set, the current system would likely

miss it. This points to the need for

automatic rule induction

. One idea is to mine rules from

data by looking at what differentiates misclassified examples – akin to how decision trees split

features, we could generate fuzzy rules on the fly. Some research on neuro-symbolic learning

could be applied here so that the model can propose new linguistic patterns to add to its

repertoire.

Another limitation is

scalability

. Fuzzy inference as implemented (especially if we had

very large rule sets) can be computationally heavier than a single matrix multiplication in a

neural net. Our prototype with ~20 rules is extremely fast, but if one attempted to have

hundreds of rules or very fine-grained membership sets for thousands of words, the inference

might slow down. There is ongoing research on optimizing fuzzy computations and even

differentiable fuzzy logic that could help scale to more rules or integrate into GPU-friendly

frameworks.

We also note that our evaluation focused on relatively short texts (tweets, SMS, single

sentences or reviews). For longer documents or more complex NLP tasks (like parsing or

summarization), the method would need extension. It’s conceptually possible to apply neuro-

fuzzy modeling to any NLP task, but performance on tasks requiring deep understanding (e.g.,

QA, logical inference) might require more sophisticated rule design (perhaps higher-order fuzzy

logic or fuzzy knowledge graphs). Encouragingly, some recent works on fuzzy-NLI and fuzzy

common-sense reasoning indicate it’s feasible to incorporate logical rules for complex

reasoning Our work primarily tackled surface-level noise and classification ambiguity; handling

higher-level ambiguity (like resolving pronoun references fuzzily) is an open challenge.

Comparison with Other Approaches:

It is insightful to compare our neuro-fuzzy approach

with alternative strategies for noisy text. One alternative is adversarial training – training neural

nets on augmented data with noise so they learn to be invariant. While effective to some extent,

adversarial training tends to make the model robust to the specific noise seen; it might not

generalize to qualitatively different noise. The neuro-fuzzy approach, by contrast, inherently

covers a broad range of noise through linguistic generalizations. Another approach is using edit

distance or character-level models directly in neural nets (like character CNNs or RNNs) to

cope with spelling variation. These models do help with noise, but they sacrifice interpretability

and can sometimes misfire (e.g., treating two different words as same if spelled similarly). Our

approach explicitly knows what is a spelling error versus a word choice because of separate

features.

Potential Improvements:

Several avenues can enhance the system:

Type-2 Fuzzy Logic:

In some cases, even the membership functions have uncertainty

(especially when dealing with human annotations or vague categories). An extension

would be to use interval type-2 fuzzy sets for some features, which can model

uncertainty in the degree of membership itself. This could make the system even more

robust to noise in the input features (e.g., if we are uncertain whether something is slang

or just a typo, we can represent that uncertainty).


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Dynamic Rule Refinement:

Using feedback from errors to refine rules. For instance, if

the system consistently mis-normalizes a certain new slang, we can add a rule for it.

This could be done in an online learning fashion.

Integration with Large Language Models:

We can envision a hybrid where a large

language model (LLM) like GPT-3 is used to suggest possible interpretations of an

ambiguous text, and then our fuzzy system uses those suggestions as inputs or as

additional rules. The fuzzy system could act as a governor that checks the LLM’s

suggestions against logical rules (in line with efforts to make LLMs more controllable).

Multilingual Extension:

Fuzzy logic is language-agnostic, but the specific rules and

lexicons are not. Extending the system to multilingual settings would require multi-

language slang dictionaries and possibly language-specific features (e.g., some

languages have more compounding, so splitting words might need fuzzy handling).

Given the modular design, one could plug in language-specific fuzzy knowledge bases

to handle, say, Arabic chats or Chinese pinyin slang.

In summary, the discussion highlights that our neuro-fuzzy system strikes a practical balance

between performance and interpretability for noisy text. It is robust and gives insight into its

decisions, but it requires careful design of fuzzy knowledge. The limitations point to interesting

research directions bridging automatic learning of rules and integration with modern deep NLP.

As NLP applications continue to grapple with “messy” language input, we believe approaches

like this will become increasingly relevant, perhaps in tandem with purely neural solutions, to

ensure both

accuracy and reliability

in AI language understanding.

Conclusion

In conclusion, neuro-fuzzy modeling offers a promising pathway to handle

the messiness of real textual data. It aligns well with the current drive in AI for models that are

not only accurate but also

explainable

and

trustworthy

. While purely neural models have

achieved remarkable successes on clean, benchmark data, the real world demands systems that

can gracefully handle the unexpected – and do so in a way that humans can understand. The

work reported in this paper takes a significant step in that direction for the domain of text

processing. Future work will aim to further automate the incorporation of knowledge into

neuro-fuzzy models and to integrate these ideas with the latest advances in language modeling,

ultimately striving for NLP systems that can think a bit more like humans – dealing with

uncertainty and ambiguity using commonsense rules, yet learning and refining their

understanding from experience.

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ACL-IJCNLP 2009 Conference Short Papers, 127–130.

11. Taghva, K., Borsack, J., & Condit, A. (2000). Effects of OCR errors on document image

retrieval. Information Processing & Management, 36(4), 725–740.

12. Vashishtha, S., & Susan, S. (2021). MultiLexANFIS: A neuro-fuzzy approach to social

media sentiment analysis. Expert Systems with Applications, 183, 115357.

13. Wu, Y., et al. (2016). Cleaning as a service: A framework for online text normalization.

Proceedings of the 25th International Conference on World Wide Web, 271–282.

14. Wu, S. (2022). Neural fuzzy logic reasoning for natural language inference. Proceedings of

the 60th Annual Meeting of the Association for Computational Linguistics, 5234–5245.

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