Results 21 to 30 of about 2,795,168 (301)

A Novel Concept of Fuzzy Subsemigroup (Ideal)

Journal 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]

Sahand 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

A Divergence-Based Distance Measure for Intuitionistic Fuzzy Sets and Its Application in the Decision-Making of Innovation Management

IEEE Access, 2020
The theory of intuitionistic fuzzy set has attracted much attention because of its stronger ability in depicting and modeling uncertainty. Recent years, numbers of distance measures of intuitionistic fuzzy sets have been proposed to distinguish the ...
Fei Ju, Yongzhi Yuan, Ye Yuan, Wen Quan
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Picture Fuzzy Knowledge Measure with Application to MADM

International 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, Koushal Singh, Surender Singh   +2 more
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New Entropy, Similarity Measure of Intuitionistic Fuzzy Sets and their Applications in Group Decision Making [PDF]

International 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
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Distance-Based Knowledge Measure and Entropy for Interval-Valued Intuitionistic Fuzzy Sets

Mathematics, 2023
The knowledge measure or uncertainty measure for constructing interval-valued intuitionistic fuzzy sets has attracted much attention. However, many uncertainty measures are measured by the entropy of interval-valued intuitionistic fuzzy sets, which ...
Chunfeng Suo, Xuanchen Li, Yongming Li
doaj   +1 more source

Shilkret Integral Based on Binary-Element Sets and its Application in The Area of Synthetic Evaluation [PDF]

Engineering and Technology Journal, 2015
The aim of this paper is to present a new framework for studying fuzzy measure and Shilkret integral which is an alternative framework from usual fuzzy measure and Shilkret integral. First, we define a fuzzy measure based on binary-element sets, then, we
Jabbar Abbas Ghafil
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Call for Submissions [PDF]

, 2022
Call for ...
The Measure
core   +1 more source

A Generalized Definition of Fuzzy Subrings

Journal of Mathematics, 2022
In this study, under the condition that L is a completely distributive lattice, a generalized definition of fuzzy subrings is introduced. By means of four kinds of cut sets of fuzzy subset, the equivalent characterization of L-fuzzy subring measures are ...
Ying-Ying An, Fu-Gui Shi, Lan Wang
doaj   +1 more source

Fuzzy measures and measures of fuzziness

Journal of Mathematical Analysis and Applications, 1984
In this paper, the fuzzy integral defined by the author [Fuzzy Math. 2, 57-68 (1982)] which is different from that defined by \textit{M. Sugeno} [Theory of fuzzy integrals and its applications, Ph. D., Tokyo Inst. of Technology (1974)] is further considered, and it is shown that the measures of ordinary sets and fuzzy sets can be determined by each ...
openaire   +2 more sources