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This article deals with the complexity involved in fuzzy derivatives when both input and output are from nonempty, convex, and compact fuzzy space. Consider a fuzzy valued mapping, and for fuzzy differentiation of fuzzy valued function, we…

General Mathematics · Mathematics 2023-08-23 Purnima Pandit , Payal Singh

The author studies the Smarandache Fuzzy Algebra, which, like its predecessor Fuzzy Algebra, arose from the need to define structures that were more compatible with the real world where the grey areas mattered, not only black or white. This…

General Mathematics · Mathematics 2007-05-23 Dr. W. B. Vasantha Kandasamy

Ranking of intuitionsitic fuzzy number plays a vital role in decision making and other intuitionistic fuzzy applications. In this paper, we propose a new ranking method of intuitionistic fuzzy number based on distance measure. We first…

General Mathematics · Mathematics 2014-10-28 Debaroti Das , P. K. De

In this article we compute the number of fuzzy bitopological space with having two open sets, three open sets, four open sets and five open sets. Also, we have given some results on computation of number of fuzzy bitopological space.

General Topology · Mathematics 2019-12-10 Bhimraj Basumatary , Jili Basumatary , Nijwm Wary

Real-world phenomena often exhibit vagueness, partial truth, and incomplete information. To model such uncertainty in a mathematically rigorous way, many generalized set-theoretic frameworks have been introduced, including Fuzzy Sets [1],…

Artificial Intelligence · Computer Science 2026-03-18 Takaaki Fujita , Florentin Smarandache

This paper discusses a target tracking problem in which no dynamic mathematical model is explicitly assumed. A nonlinear filter based on the fuzzy If-then rules is developed. A comparison with a Kalman filter is made, and empirical results…

Artificial Intelligence · Computer Science 2013-03-25 Chin-Wang Tao , Wiley E. Thompson

We introduce a simple model to realize the free real scalar CFT on the fuzzy sphere. The model is structurally similar to the original model that realizes the 3D Ising CFT on the fuzzy sphere. Owing to the shift symmetry of the free scalar,…

High Energy Physics - Theory · Physics 2025-06-19 Yin-Chen He

Self-adaptive system (SAS) is capable of adjusting its behavior in response to meaningful changes in the operational context and itself. Due to the inherent volatility of the open and changeable environment in which SAS is embedded, the…

Software Engineering · Computer Science 2017-04-04 Zhuoqun Yang , Zhi Jin , Zhi Li

Recently, Wang et al. discussed the properties of fuzzy information systems under homomorphisms in the paper [C. Wang, D. Chen, L. Zhu, Homomorphisms between fuzzy information systems, Applied Mathematics Letters 22 (2009) 1045-1050], where…

Artificial Intelligence · Computer Science 2011-11-08 Ping Zhu , Qiaoyan Wen

We review the interplay of fuzzy field theories and matrix models, with an emphasis on the phase structure of fuzzy scalar field theories. We give a self-contained introduction to these topics and give the details concerning the saddle…

High Energy Physics - Theory · Physics 2015-12-03 Juraj Tekel

Bipolar fuzzy relation equations arise as a generalization of fuzzy relation equations considering unknown variables together with their logical connective negations. The occurrence of a variable and the occurrence of its negation…

Artificial Intelligence · Computer Science 2024-10-07 M. Eugenia Cornejo , David Lobo , Jesús Medina

In this paper, we introduce an abstract fuzzy economy (generalized fuzzy game) model with a countable space of actions and we study the existence of the fuzzy equilibrium. As applications, two types of results are obtained. The first ones…

Optimization and Control · Mathematics 2013-06-25 Monica Patriche

Statistical limits are defined relaxing conditions on conventional convergence. The main idea of the statistical convergence of a sequence l is that the majority of elements from l converge and we do not care what is going on with other…

Classical Analysis and ODEs · Mathematics 2008-03-31 Mark Burgin , Oktay Duman

Fuzzy Neural Networks (FNNs) are effective machine learning models for classification tasks, commonly based on the Takagi-Sugeno-Kang (TSK) fuzzy system. However, when faced with high-dimensional data, especially with noise, FNNs encounter…

Machine Learning · Computer Science 2024-10-18 Yingtao Ren , Yu-Cheng Chang , Thomas Do , Zehong Cao , Chin-Teng Lin

The concepts of calibrating Function Points are discussed, whose aims are to fit specific software application, to reflect software industry trend, and to improve cost estimation. Neuro-Fuzzy is a technique which incorporates the learning…

Software Engineering · Computer Science 2015-08-04 Wei Xia , Danny Ho , Luiz Fernando Capretz

This paper presents a physically-informed fuzzy clustering of vertical sounding ionograms for automatically separating the ionogram into tracks suitable for further interpretation and determining their optimal number. The model is designed…

Atmospheric and Oceanic Physics · Physics 2026-05-01 Oleg I. Berngardt , Sergey N. Ponomarchuk

This paper provides an in-depth review of the optimal design of type-1 and type-2 fuzzy inference systems (FIS) using five well known computational frameworks: genetic-fuzzy systems (GFS), neuro-fuzzy systems (NFS), hierarchical fuzzy…

Artificial Intelligence · Computer Science 2019-08-28 Varun Ojha , Ajith Abraham , Vaclav Snasel

In a context of document co-clustering, we define a new similarity measure which iteratively computes similarity while combining fuzzy sets in a three-partite graph. The fuzzy triadic similarity (FT-Sim) model can deal with uncertainty…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-24 Sonia Alouane-Ksouri , Minyar Sassi-Hidri , Kamel Barkaoui

We address a detailed non-perturbative numerical study of the scalar theory on the fuzzy sphere. We use a novel algorithm which strongly reduces the correlation problems in the matrix update process, and allows the investigation of…

High Energy Physics - Theory · Physics 2010-10-27 Marco Panero

In spite of its importance, passenger demand prediction is a highly challenging problem, because the demand is simultaneously influenced by the complex interactions among many spatial and temporal factors and other external factors such as…

Machine Learning · Computer Science 2019-05-15 Xiaoyuan Liang , Guiling Wang , Martin Renqiang Min , Yi Qi , Zhu Han