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Conceptual Graphs (CG) are a graph-based knowledge representation and reasoning formalism; fuzzy Conceptual Graphs (fCG) constitute an extension that enriches their expressiveness, exploiting the fuzzy set theory so as to relax their…

Artificial Intelligence · Computer Science 2021-11-02 Adam Faci , Marie-Jeanne Lesot , Claire Laudy

Fuzzy quantification is a subtopic of fuzzy logic which deals with the modelling of the quantified expressions we can find in natural language. Fuzzy quantifiers have been successfully applied in several fields like fuzzy, control, fuzzy…

Artificial Intelligence · Computer Science 2018-07-20 F. Díaz-Hermida , Juan. C. Vidal

Fuzzy answer set programming is a declarative framework for representing and reasoning about knowledge in fuzzy environments. However, the unavailability of fuzzy aggregates in disjunctive fuzzy logic programs, DFLP, with fuzzy answer set…

Artificial Intelligence · Computer Science 2013-04-09 Emad Saad

The increasing rise in artificial intelligence has made the use of imprecise language in computer programs like ChatGPT more prominent. Fuzzy logic addresses this form of imprecise language by introducing the concept of fuzzy sets, where…

Databases · Computer Science 2023-11-08 Kevin Min , Hayden Jananthan , Jeremy Kepner

In this manuscript, fractal and fuzzy calculus are summarized. Fuzzy calculus in terms of fractal limit, continuity, its derivative, and integral are formulated. The fractal fuzzy calculus is a new framework that includes fractal fuzzy…

General Mathematics · Mathematics 2023-02-16 Alireza Khalili Golmankhaneh , Kerri Welch , Cristina Serpa , Palle E. T. Jørgensen

In a recent paper as an alternative to models based on the notion of ideal mathematical point, characterized by a property of separatedness, we considered a viewpoint based on the notion of continuous change, making use of elements of a…

Neurons and Cognition · Quantitative Biology 2024-12-16 Bartosz Jura

In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standard statistical models usually disregard to take into account…

Statistics Theory · Mathematics 2019-12-23 Elvira Di Nardo , Rosaria Simone

Risk specialists are trying to understand risk better and use complex models for risk assessment, while many risks are not yet well understood. The lack of empirical data and complex causal and outcome relationships make it difficult to…

Artificial Intelligence · Computer Science 2020-09-22 Hengameh Fakhravar

Rule mining algorithms are one of the fundamental techniques in data mining for disclosing significant patterns in terms of linguistic rules expressed in natural language. In this paper, we revisit the concept of fuzzy implicative rule to…

Logic in Computer Science · Computer Science 2025-10-07 Raquel Fernandez-Peralta

Bisimulations have been widely used in many areas of computer science to model equivalence between various systems, and to reduce the number of states of these systems, whereas uniform fuzzy relations have recently been introduced as a…

Formal Languages and Automata Theory · Computer Science 2011-05-09 Miroslav Ćirić , Jelena Ignjatović , Nada Damljanović , Milan Bašić

In the subjective Bayesian approach uncertainty is described by a prior distribution chosen by the statistician. Fuzzy set theory is another way of representing uncertainty. Here we give a decision theoretic approach which allows a Bayesian…

Statistics Theory · Mathematics 2008-12-18 Glen Meeden

Approaches based on computing with words find good applicability in decision making systems. Predominantly finding their basis in type-1 fuzzy sets, computing with words approaches employ type-1 fuzzy sets as semantics of the linguistic…

Artificial Intelligence · Computer Science 2020-02-28 Taniya Seth , Pranab K. Muhuri

This paper addresses fundamental issues on the nature of the concepts and structures of fuzzy logic, focusing, in particular, on the conceptual and functional differences that exist between probabilistic and possibilistic approaches. A…

Artificial Intelligence · Computer Science 2013-04-05 Enrique H. Ruspini

Several abstract machines that operate on symbolic input alphabets have been proposed in the last decade, for example, symbolic automata or lattice automata. Applications of these types of automata include software security analysis and…

Formal Languages and Automata Theory · Computer Science 2019-10-18 Andreas Stahlbauer

The Turing machine is an abstract concept of a computing device which introduced new models for computation. The idea of Fuzzy algorithms defined by Zadeh and Lee was followed by introducing Fuzzy Turing Machine (FTM) to create a platform…

Systems and Control · Electrical Eng. & Systems 2019-08-07 Najmeh Ahang , Amin Torabi Jahromi , Mansour Doostfatemeh

Motivated by Zadeh's paradigm of computing with words rather than numbers, several formal models of computing with words have recently been proposed. These models are based on automata and thus are not well-suited for concurrent computing.…

Artificial Intelligence · Computer Science 2011-10-04 Yongzhi Cao , Guoqing Chen

Computer vision applications are omnipresent nowadays. The current paper explores the use of fuzzy logic in computer vision, stressing its role in handling uncertainty, noise, and imprecision in image data. Fuzzy logic is able to model…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Adilet Yerkin , Ayan Igali , Elnara Kadyrgali , Maksat Shagyrov , Malika Ziyada , Muragul Muratbekova , Pakizar Shamoi

Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling. Numerous works now combine fuzzy concepts with other scientific disciplines…

Functional Analysis · Mathematics 2017-03-01 Murat Kirişci

Recent years have witnessed a wide array of results in software testing, exploring different approaches and methodologies ranging from fuzzers to symbolic engines, with a full spectrum of instances in between such as concolic execution and…

Software Engineering · Computer Science 2021-06-14 Luca Borzacchiello , Emilio Coppa , Camil Demetrescu

In this paper we use fuzzy systems theory to convert the technical trading rules commonly used by stock practitioners into excess demand functions which are then used to drive the price dynamics. The technical trading rules are recorded in…

Trading and Market Microstructure · Quantitative Finance 2016-11-18 Li-Xin Wang