Results 21 to 30 of about 312,569 (204)
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
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 +2 more
doaj +1 more source
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
doaj +1 more source
Extending Similarity Measures of Interval Type-2 Fuzzy Sets to General Type-2 Fuzzy Sets [PDF]
, 2013 Similarity measures provide one of the core tools that enable reasoning about fuzzy sets. While many types of similarity measures exist for type-1 and interval type-2 fuzzy sets, there are very few similarity measures that enable the comparison of ...
Christian Wagner +4 more
core +4 more sources
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
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
doaj +1 more source
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
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
On fuzzy-qualitative descriptions and entropy [PDF]
, 2016 This paper models the assessments of a group of experts when evaluating different magnitudes, features or objects by using linguistic descriptions.
Agell Jané, Núria +3 more
core +2 more sources
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