Results 11 to 20 of about 2,585 (219)

Absolute Continuity of Fuzzy Measures and Convergence of Sequence of Measurable Functions

open access: yesMathematics, 2020
In this note, the convergence of the sum of two convergent sequences of measurable functions is studied by means of two types of absolute continuity of fuzzy measures, i.e., strong absolute continuity of Type I, and Type VI.
Jun Li
doaj   +1 more source

Study on Sugeno Probability Integral of γ-fuzzy Operator

open access: yesJournal 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
doaj   +1 more source

Measure Identification for the Choquet Integral: A Python Module

open access: yesInternational Journal of Computational Intelligence Systems, 2022
Fuzzy integrals are common concepts which are used to aggregate input values in practical applications. Aggregation of inputs using fuzzy integrals opens up numerous possibilities for modeling interaction, redundancy, and synergy of inputs.
Ezgi Türkarslan, Vicenç Torra
doaj   +1 more source

Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals [PDF]

open access: yesSahand 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
doaj   +1 more source

A Probability Integral on η-fuzzy Measure

open access: yesJournal 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
doaj   +1 more source

Decision support system for dementia patients using intuitionistic fuzzy similarity measure

open access: yesSoft Computing Letters, 2020
Similarity measure confirms the proximity of two objects to each other. This concept can be applied as fuzzy or intuitionistic fuzzy. There are lots of fuzzy similarity measures which had been extended to intuitionistic fuzzy similarity measure, with ...
Hanat Y. Raji-Lawal   +3 more
doaj   +1 more source

New Entropy, Similarity Measure of Intuitionistic Fuzzy Sets and their Applications in Group Decision Making [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2013
In this paper, we propose a new entropy measure with geometrical interpretation of intuitionistic fuzzy sets. Compared with the entropy measure provided by Szmidt and Kacprzyk, the new entropy formula in this paper can measure both fuzziness and ...
Xia Liang, Cuiping Wei, Meimei Xia
doaj   +1 more source

Picture Fuzzy Knowledge Measure with Application to MADM

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2023
The complementary dual of entropy is termed “knowledge measure” in recent studies concerning fuzzy and intuitionistic fuzzy sets. A picture fuzzy set is an extended and generalized form of fuzzy and intuitionistic fuzzy sets.
Dinesh K. Sharma   +2 more
doaj   +1 more source

A Novel Concept of Fuzzy Subsemigroup (Ideal)

open access: yesJournal of Mathematics, 2022
This paper focuses on a generalized definition of fuzzy subsemigroup (ideal) on semigroup. Let L be a completely distributive lattice; we introduce the definition of L-fuzzy ideal and also the novel concept of subsemigroup (ideal) on semigroup.
Yu-Hong Che, Qi Liu
doaj   +1 more source

Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces [PDF]

open access: yesSahand Communications in Mathematical Analysis
In this paper, we express and prove Chebyshev weighted type inequality for fuzzy integrals and in abstract spaces where the functions are strictly monotone functions. Furthermore, we have shown our results for n-th strictly monotone functions.
Bayaz Daraby, Zahra Vaezi
doaj   +1 more source

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