Construction of Fuzzy Measures over Product Spaces [PDF]
Mathematics, 2020 In this paper, we study the problem of constructing a fuzzy measure over a product space when fuzzy measures over the marginal spaces are available. We propose a definition of independence of fuzzy measures and introduce different ways of constructing ...
Fernando Reche +2 more
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Fuzzy Operators and Hyers–Ulam Stability in the Context of ∗-Fuzzy Measure Spaces
AlgorithmsIn this paper, we introduce ϑ-fuzzy quasi-k-norms with respect to a continuous t-norm ϑ. Also, we investigate fuzzy operators defined on the product of a ∗-fuzzy measure space and an algebraic group, taking values in a ϑ-fuzzy quasi-k-normed space ...
Aseel Ahmed Shihab Alshabeeb +1 more
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Study of temporal intuitionistic fuzzy metric space [PDF]
Journal of Hyperstructures, 2023 In order to create a dynamic measure that describes distances between spatiotemporal points whose positions changeover time as well as between the data represented by these points,a temporal intuitionistic fuzzy metric space is created in this pa-per ...
Ram Milan Singh
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A Probability Integral on η-fuzzy Measure
Journal of Harbin University of Science and Technology, 2022 For the study of relevant definitions and theorems of fuzzy integrals, a fuzzy measure is first defined; then a pair of optimized Einstein operators of the form are designed, which are λ-fuzzy quasiproduct operator and λ-fuzzy quasisum operator ...
CHANG Xin-qi, ZHAO Hui, WU Yang
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Lacunary ideal convergence in measure for sequences of fuzzy valued functions [PDF]
, 2021 We investigate the concepts of pointwise and uniform I-theta-convergence and type of convergence lying between mentioned convergence methods, that is, equi-ideally lacunary convergence of sequences of fuzzy valued functions and acquire several results ...
Kişi, Ömer, Ömer Kişi
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Ｒesearch on Generalized Sugeno Fuzzy Probability Integral Based on t-Modular Operator
Journal of Harbin University of Science and Technology, 2021 Fuzzy probability integral is an important part of fuzzy mathematics，and it is an integral form which combines fuzzy probability with integral. In this paper，a quasi-multiplication operator and a quasi-sum operator are designed by using the definition ...
ZHANO Hui, JIANG Xin-ge, SHAN Yun-xiao
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Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, We review general related inequalities to Carlson-type inequalities for the Sugeno integral on an abstract fuzzy measure space $(X,\Sigma)$. Some examples are given to illustrate the validity of main results.
Bayaz Daraby
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Study on Sugeno Probability Integral of γ-fuzzy Operator
Journal of Harbin University of Science and Technology, 2020 As an indispensable branch of fuzzy mathematics, fuzzy probability integral is an important integral form that relies on fuzzy probability and fuzzy measure, and is also a powerful tool for studying fuzzy mathematics. Aiming at the definition and theorem
ZHAO Hui, SHAN Yunxiao, JIANG Xinge
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Lacunary Statistical Convergence in Measure for Double Sequences of Fuzzy Valued Functions
Journal of Mathematics, 2021 Based on the concept of lacunary statistical convergence of sequences of fuzzy numbers, the lacunary statistical convergence, uniformly lacunary statistical convergence, and equi-lacunary statistical convergence of double sequences of fuzzy-valued ...
Ömer Kişi
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Inequalities in Triangular Norm-Based ∗-fuzzy ( L + ) p Spaces
Mathematics, 2020 In this article, we introduce the ∗-fuzzy (L+)p spaces for 1 ...
Abbas Ghaffari +2 more
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