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In this paper, the notations of $\alpha$-Q-fuzzy subset and $\alpha$-Q-fuzzy subgroup are introduced, and necessary properties related to these two concepts are proven. In the past part in this work, the effect of the $\alpha$-Q-fuzzy…

General Mathematics · Mathematics 2019-11-12 Muwafaq Salih , Delbrin Ahmed

The theory of holographic space-time (HST) generalizes both string theory and quantum field theory. It provides a geometric rationale for supersymmetry (SUSY) and a formalism in which super-Poincare invariance follows from Poincare…

High Energy Physics - Theory · Physics 2011-12-07 Tom Banks , Willy Fischler

In this paper, generalised intuitionistic fuzzy soft sets and relations on generalised intuitionistic fuzzy soft sets are defined and a few of their properties are studied. An application of generalised intuitionistic fuzzy soft sets in…

General Mathematics · Mathematics 2010-10-13 Bivas Dinda , Tuhin Bera , T. K. Samanta

In this paper, we define precompact set in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete. Also we define topologically complete…

General Topology · Mathematics 2015-06-26 Reza Saadati

We develop a theory of Hrushovski-Kazhdan style motivic integration for certain type of non-archimedean o-minimal fields, namely polynomial-bounded T-convex valued fields. The structure of valued fields is expressed through a two-sorted…

Logic · Mathematics 2013-07-02 Yimu Yin

In this paper the concept of the extensions of intuitionistic fuzzy ideals in a semigroup has been extended to a {\Gamma}-Semigroups. Among other results characterization of prime ideals in a {\Gamma}-Semigroups in terms of intuitionistic…

Information Theory · Computer Science 2010-11-13 Nayyar Mehmood , Imran Haider Qureshi

In this note, we give solutions to Problems $9.4$ and $9.5,$ which were presented by Mesiar and Stup\v{n}anov\'{a} [{\it Open problems from the 12th International Conference on Fuzzy Set Theory and Its Applications}, Fuzzy Sets and Systems…

Statistics Theory · Mathematics 2015-01-14 Michał Boczek , Marek Kaluszka

In this paper, we have discussed several properties of intuitionistic fuzzy {\Gamma}-ideals of a {\Gamma}-AG-groupoid which is the generalization of ideals in AG-groupoid We have characterized an intra-regular {\Gamma}-AG^{**}-groupoid in…

Group Theory · Mathematics 2010-11-15 Madad Khan , Faisal , Venus Amjid

A detailed study of graded frame, graded fuzzy topological system and fuzzy topological space with graded inclusion is already done in our earlier paper. The notions of graded fuzzy topological system and fuzzy topological space with graded…

General Mathematics · Mathematics 2017-04-27 Purbita Jana , Mihir K. Chakraborty

In this paper, a new method based on TOPSIS and optimization models is proposed for multi-attribute group decision-making in the environment of interval-valued intuitionistic fuzzy sets.Firstly, by minimizing the sum of differences between…

Artificial Intelligence · Computer Science 2023-11-28 Qixiao Hu , Shiquan Zhang , Chaolang Hu , Yuetong Liu

The mathematical representation of uncertainty has led to a proliferation of preference structures, such as interval-valued fuzzy sets, intuitionistic fuzzy sets, and various granular models. While these extensions are often studied…

General Mathematics · Mathematics 2026-04-16 Juan Martínez-Moreno , Diego García-Zamora

WordNet lexical-database groups English words into sets of synonyms called "synsets." Synsets are utilized for several applications in the field of text-mining. However, they were also open to criticism because although, in reality, not all…

In this paper, we present the fuzzy monoids and vague monoids by using aggregation operators. The unit interval with a $t$-norm or a $t$-conorm is a special monoid, so we mainly talk about fuzzy subsets of monoids. Firstly, the…

General Mathematics · Mathematics 2022-05-23 Wei Li , Haohao Wang , Yuanhao Liu , Bin Yang

Data collected by multiple methods or from multiple sources is called multi-view data. To make full use of the multi-view data, multi-view learning plays an increasingly important role. Traditional multi-view learning methods rely on a…

Machine Learning · Computer Science 2024-10-28 Wei Zhang , Zhaohong Deng , Qiongdan Lou , Te Zhang , Kup-Sze Choi , Shitong Wang

The theory of holographic space-time (HST) generalizes both string theory and quantum field theory. It provides a geometric rationale for supersymmetry (SUSY) and a formalism in which super-Poincare invariance follows from Poincare…

High Energy Physics - Theory · Physics 2011-09-13 T. Banks

In this article, working in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions, we go deeper into the study of some type of decompositions defined by t-norms and t-conorms. This allows us to…

General Mathematics · Mathematics 2025-12-01 María Jesús Campión , Esteban Induráin , Armajac Raventós-Pujol

Support vector machines (SVMs) and fuzzy rule systems are functionally equivalent under some conditions. Therefore, the learning algorithms developed in the field of support vector machines can be used to adapt the parameters of fuzzy…

Machine Learning · Computer Science 2014-08-25 Duc-Hien Nguyen , Manh-Thanh Le

Being a pair of dual concepts, the normalized distance and similarity measures are very important tools for decision-making and pattern recognition under intuitionistic fuzzy sets framework. To be more effective for decision-making and…

General Mathematics · Mathematics 2023-02-07 Xinxing Wu , Zhiyi Zhu , Guanrong Chen , Tao Wang , Peide Liu

Deep neural networks achieve high accuracy on image classification tasks. Yet, they often produce overconfident predictions as which fail to express epistemic uncertainty, and frequently violate logical or structural constraints present in…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Ezel Kilicdere , Shireen Kudukkil Manchingal , Fabio Cuzzolin

Cabrelli, Forte, Molter and Vrscay in 1992 considered a {fuzzy} version of the theory of iterated function systems (IFSs in short) and their fractals%The idea was to extend the classical Hutchinson-Barnsley operator to selfmaps of a metric…

Dynamical Systems · Mathematics 2016-10-17 Elismar R. Oliveira , Filip Strobin
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