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Topology in the Alternative Set Theory and Rough Sets via Fuzzy Type Theory [PDF]

open access: yesMathematics, 2020
In this paper, we will visit Rough Set Theory and the Alternative Set Theory (AST) and elaborate a few selected concepts of them using the means of higher-order fuzzy logic (this is usually called Fuzzy Type Theory).
Vilém Novák
doaj   +2 more sources

Classifiation of Ordered Semigroups Through Neutrosophic Generalized bi-ideals with Applications [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
An icebreaking theory known as neutrosophic theory opened a new direction for researchers of philosophy, logics, set theory and probability/statistics. Neutrosophy put the point base for a entire household of new mathematical speculations that summarized
Faiz Muhammad Khan   +2 more
doaj   +1 more source

Complex Uncertainty of Surface Data Modeling via the Type-2 Fuzzy B-Spline Model

open access: yesMathematics, 2021
This paper discusses the construction of a type-2 fuzzy B-spline model to model complex uncertainty of surface data. To construct this model, the type-2 fuzzy set theory, which includes type-2 fuzzy number concepts and type-2 fuzzy relation, is used to ...
Rozaimi Zakaria   +3 more
doaj   +1 more source

A Theory of Approximate Reasoning with Type-2 Fuzzy Set [PDF]

open access: yesJournal of the Indonesian Mathematical Society, 2021
In this paper, an attempt is made to study approximate reasoning based on a Type-2 fuzzy set theory. In the process, we have examined the underlying fuzzy logic structure on which the reasoning is formulated. We have seen that the partial/incomplete/imprecise truth-values of elements of a type-2 fuzzy set under consideration forms a lattice. We propose
Mandal, Sudin   +2 more
openaire   +1 more source

Rational Type Fuzzy-Contraction Results in Fuzzy Metric Spaces with an Application

open access: yesJournal of Mathematics, 2021
This paper aims to introduce the new concept of rational type fuzzy-contraction mappings in fuzzy metric spaces. We prove some fixed point results under the rational type fuzzy-contraction conditions in fuzzy metric spaces with illustrative examples to ...
Saif Ur Rehman   +2 more
doaj   +1 more source

The First Rational Type Revised Fuzzy-Contractions in Revised Fuzzy Metric Spaces with an Applications

open access: yesMathematics, 2023
This paper aims to introduce the concept of rational type revised fuzzy-contraction mappings in revised fuzzy metric spaces. Fixed point results are proven under the rational type revised fuzzy-contraction conditions in revised fuzzy metric spaces with ...
Angamuthu Muraliraj   +4 more
doaj   +1 more source

A Deep Convolutional Neural Network With Fuzzy Rough Sets for FER

open access: yesIEEE Access, 2020
Existing facial emotion recognition methods do not have high accuracy and are not sufficient practical in real-time applications. We introduce type 2 fuzzy rough sets to develop a Type 2 Fuzzy Rough Convolutional Neural Network, as type 2 fuzzy rough ...
Xiangjian Chen   +3 more
doaj   +1 more source

Decision-Making Approach with Fuzzy Type-2 Soft Graphs

open access: yesJournal of Mathematics, 2020
Molodtsov’s theory of soft sets is free from the parameterizations insufficiency of fuzzy set theory. Type-2 soft set as an extension of a soft set has an essential mathematical structure to deal with parametrizations and their primary relationship ...
Sundas Shahzadi   +2 more
doaj   +1 more source

Isomorphisms in EQ-Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
In this paper we investigate some isomorphism theorems in EQ-algebras. After establishing some basic results we give the Fundamental Homomorphism Theorem and by using it we state and prove some other isomorphism theorems.
Bakhshi M., Khavari M.R., Nazifi M.
doaj   +1 more source

An Approach of Lebesgue Integral in Fuzzy Cone Metric Spaces via Unique Coupled Fixed Point Theorems

open access: yesJournal of Function Spaces, 2021
In the theory of fuzzy fixed point, many authors have been proved different contractive type fixed point results with different types of applications. In this paper, we establish some new fuzzy cone contractive type unique coupled fixed point theorems ...
Muhammad Talha Waheed   +4 more
doaj   +1 more source

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