Results 11 to 20 of about 854,853 (332)

Some novel correlation coefficients of spherical fuzzy sets with their application in pattern recognition [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2022
A spherical fuzzy set is a generalization of picture fuzzy sets, intuitionistic fuzzy sets, and fuzzy sets in which the square sum of the membership, non-membership, and neutrality values is at most one. The correlation coefficient is a crucial tool in
Abdul Haseeb Ganie
doaj   +1 more source

Fuzzy-rough set models and fuzzy-rough data reduction

open access: yesCroatian Operational Research Review, 2020
Rough set theory is a powerful tool to analysis the information systems. Fuzzy rough set is introduced as a fuzzy generalization of rough sets. This paper reviewed the most important contributions to the rough set theory, fuzzy rough set theory and their
Hassan Mishmast Nehi   +1 more
doaj   +1 more source

Three-way decision based on canonical soft sets of hesitant fuzzy sets

open access: yesAIMS Mathematics, 2022
The theory of three-way decision is built on the philosophy of thinking in threes. The essence of three-way decision is trisecting the whole and taking different strategies for different parts accordingly.
Feng Feng   +3 more
doaj   +1 more source

The Soft Sets and Fuzzy Sets-Based Neural Networks and Application

open access: yesIEEE Access, 2020
This paper reviews and compares theories of fuzzy sets and soft sets from the perspective of transformation, and a machine learning model-SF-ANN (the soft sets and fuzzy sets based artificial neural network) is proposed. Liu et al.
Zhicai Liu   +3 more
doaj   +1 more source

Fuzzy Set Theory and Topos Theory [PDF]

open access: yesCanadian Mathematical Bulletin, 1986
AbstractThe relation between the categories of Fuzzy Sets and that of Sheaves is explored and the precise connection between them is explicated. In particular, it is shown that if the notion of fuzzy sets is further fuzzified by making equality (as well as membership) fuzzy, the resultant categories are indeed toposes.
openaire   +1 more source

On Unification of Methods in Theories of Fuzzy Sets, Hesitant Fuzzy Set, Fuzzy Soft Sets and Intuitionistic Fuzzy Sets

open access: yesMathematics, 2021
The main goal of this publication is to show that the basic constructions in the theories of fuzzy sets, fuzzy soft sets, fuzzy hesitant sets or intuitionistic fuzzy sets have a common background, based on the theory of monads in categories. It is proven
Jiří Močkoř, David Hýnar
doaj   +1 more source

New generalization of fuzzy soft sets: $ (a, b) $-Fuzzy soft sets

open access: yesAIMS Mathematics, 2023
Many models of uncertain knowledge have been designed that combine expanded views of fuzziness (expressions of partial memberships) with parameterization (multiple subsethood indexed by a parameter set).
T. Al-shami, J. Alcantud, A. Mhemdi
semanticscholar   +1 more source

A Novel Applications of Complex Intuitionistic Fuzzy Sets in Group Theory

open access: yesIEEE Access, 2020
In this paper, we initiate the novel concept of complex intuitionistic fuzzy subgroups and prove that every complex intuitionistic fuzzy subgroup generates two intuitionistic fuzzy subgroups. We extend this ideology to define the concept of level subsets
Muhammad Gulzar   +3 more
semanticscholar   +1 more source

Fuzzy Galois connections on fuzzy sets

open access: yes, 1981
In fairly elementary terms this paper presents how the theory of preordered fuzzy sets, more precisely quantale-valued preorders on quantale-valued fuzzy sets, is established under the guidance of enriched category theory.
García, Javier Gutiérrez   +2 more
core   +2 more sources

Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory [PDF]

open access: yes, 2013
The n-dimensional fuzzy sets have been introduced as a generalization of interval-valued fuzzy sets, Atanassov's intuitionistic and interval-valued intuitionistic fuzzy sets.
Deschrijver, Glad
core   +2 more sources

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