Results 21 to 30 of about 313,315 (303)
Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces [PDF]
Sahand Communications in Mathematical AnalysisIn 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
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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
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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
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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 +2 more
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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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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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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
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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
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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
Modularity measure of networks with overlapping communities [PDF]
, 2009 In this paper we introduce a non-fuzzy measure which has been designed to rank the partitions of a network's nodes into overlapping communities. Such a measure can be useful for both quantifying clusters detected by various methods and during finding the
A. Lázár +8 more
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