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Hesitant fuzzy sets find extensive application in specific scenarios involving uncertainty and hesitation. In the context of set theory, the concept of inclusion relationship holds significant importance as a fundamental definition.…

Artificial Intelligence · Computer Science 2025-04-21 Shizhan Lu , Zeshui Xu , Zhu Fu , Longsheng Cheng , Tongbin Yang

The concept of controlling non-linear systems is one the significant fields in scientific researches for the purpose of which intelligent approaches can provide desirable applicability. Fuzzy systems are systems with ambiguous definition…

Systems and Control · Computer Science 2013-08-23 Qasem Abdollah Nezhad , Javad Palizvan Zand , Samira Shah Hoseini

In a recent paper [1] we introduced the Fuzzy Bayesian Learning (FBL) paradigm where expert opinions can be encoded in the form of fuzzy rule bases and the hyper-parameters of the fuzzy sets can be learned from data using a Bayesian…

Machine Learning · Statistics 2017-04-07 Indranil Pan , Dirk Bester

The work presents an extension of the fuzzy approach to 2-D shape recognition [1] through refinement of initial or coarse classification decisions under a two pass approach. In this approach, an unknown pattern is classified by refining…

Computer Vision and Pattern Recognition · Computer Science 2014-10-16 Subhadip Basu , Mahantapas Kundu , Mita Nasipuri , Dipak Kumar Basu

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

For continuous boundary data, including data of polynomial growth, modified Poisson integrals are used to write solutions to the half space Dirichlet and Neumann problems in $\mathbb{R}^{n}$. Pointwise growth estimates for these integrals…

Classical Analysis and ODEs · Mathematics 2007-05-23 David Siegel , Erik Talvila

This paper considers a class of nonlocal fractional neutral stochastic integrodifferential inclusions of order $1<\alpha<2$ with impulses in a Hilbert space. We study the existence of the mild solution for the cases when the multi-valued…

Dynamical Systems · Mathematics 2023-11-30 Asma Afreen , Abdur Raheem , Areefa Khatoon

Nonlinear `sigma' models in two dimensions have BPS solitons which are solutions of self- and anti-self-duality constraints. In this paper, we find their analogues for fuzzy sigma models on fuzzy spheres which were treated in detail by us…

High Energy Physics - Theory · Physics 2009-11-10 A. P. Balachandran , Giorgio Immirzi

Interval valued bipolar fuzzy weighted neutrosophic set(IVBFWN-set) is a new generalization of fuzzy set, bipolar fuzzy set, neutrosophic set and bipolar neutrosophic set so that it can handle uncertain information more flexibly in the…

General Mathematics · Mathematics 2016-02-08 Irfan Deli , Yusuf Şubaş , Florentin Smaradache , Mumtaz Ali

The Fuzzy Modeling has been applied in a wide variety of fields such as Engineering and Management Sciences and Social Sciences to solve a number Decision Making Problems which involve impreciseness, uncertainty and vagueness in data. In…

Artificial Intelligence · Computer Science 2013-04-29 Arindam Chaudhuri , Kajal De , Dipak Chatterjee

In our work, we continue to explore the properties of interval-valued fuzzy soft sets, which are obtained by combining interval-valued fuzzy sets and soft sets. We introduce the concept of energy of an interval-valued fuzzy soft set, as…

Artificial Intelligence · Computer Science 2024-05-28 Ljubica Djurović , Maja Laković , Nenad Stojanović

In this paper we analyse the benefits of incorporating interval-valued fuzzy sets into the Bousi-Prolog system. A syntax, declarative semantics and im- plementation for this extension is presented and formalised. We show, by using potential…

Artificial Intelligence · Computer Science 2021-01-07 Clemente Rubio-Manzano , Martin Pereira-Fariña

Pythagorean fuzzy sets provide stronger ability than intuitionistic fuzzy sets to model uncertainty information and knowledge, but little effort has been paid to conflict analysis of Pythagorean fuzzy information systems. In this paper, we…

Artificial Intelligence · Computer Science 2017-07-13 Guangming Lang

As a starting point, this paper develops the system of bipolar fuzzy relational equations (FRE) to the most general case, where bipolar FREs are defined by an arbitrary continuous t-norm. Due to the fact that fuzzy relational equations are…

Optimization and Control · Mathematics 2025-08-25 Amin Ghodousian , Mohammad Sedigh Chopannavaz

A new approach for uncertainty management for fuzzy, rule based decision support systems is proposed: The domain expert's knowledge is expressed by a set of rules that frequently refer to vague and uncertain propositions. The certainty of…

Artificial Intelligence · Computer Science 2013-04-10 Christoph F. Eick

In this article, we give some characterization results offuzzy left(right) ideals, fuzzy generalized bi-ideals and -fuzzy bi-ideals of an LA-semigroup. We also give some characterizations of LA-semigroups by the properties of fuzzy ideals.

General Mathematics · Mathematics 2013-01-15 Muhammad aslam , Saleem Abdullah , Muhammad Atique Khan

The purpose of this paper is to investigate some properties of fuzzy ideals and fuzzy bi-ideals in gamma-semigroups and to introduce the notion of fuzzy quasi ideals in gamma-semigroups. Here we also characterize a regular gamma-semigroup…

General Mathematics · Mathematics 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Soumitra Kayal

Maji et al. introduced in 2002 a method of parametric decision making using soft sets as tools and representing their tabular form as a binary matrix. In cases, however, where some or all of the parameters used for the characterization of…

Artificial Intelligence · Computer Science 2023-06-06 Michael Gr. Voskoglou

In this paper, the interval-valued intuitionistic fuzzy matrix (IVIFM) is introduced. The interval-valued intuitionistic fuzzy determinant is also defined. Some fundamental operations are also presented. The need of IVIFM is explain by an…

Discrete Mathematics · Computer Science 2014-04-29 Susanta Kumar Khan , Madhumangal Pal

In this article, we consider some generalizations of polynomial and exponential B-splines. Firstly, the extension from integral to complex orders is reviewed and presented. The second generalization involves the construction of uncountable…

Metric Geometry · Mathematics 2019-02-18 Peter Massopust
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