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A Novel Picture Fuzzy Similarity Measure: Theory and Practical Applications
IEEE AccessSimilarity metrics serve as valuable tools for evaluating the resemblance between two datasets. While intuitionistic fuzzy sets have been widely used, picture fuzzy sets present enhanced capabilities in capturing ambiguity and uncertainty within real ...
Abdul Haseeb Ganie +3 more
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The picture fuzzy distance measure in controlling network power consumption [PDF]
Journal of Fuzzy Extension and Applications, 2020 In order to solve the complex decision-making problems, there are many approaches and systems based on the fuzzy theory were proposed. In 1998, Smarandache introduced the concept of single-valued neutrosophic set as a complete development of fuzzy theory.
Ngan Roan +8 more
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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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A Probabilistic Integral Study of Quasiproduct Overa Nonadditive Measure
Journal of Harbin University of Science and Technology, 2021 In this paper, a definition of non additive measure is given, which has F-addability; the Einstein calculater is optimized, and the λ-fuzzy quasiproduct operator and λ-fuzzy quasi sum operator with adjustable parameters for practical problems are ...
ZHAO Hui, ZHANG Xiao-xue, ZHANG Shao-xin
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Similarity Measure: An Intuitionistic Fuzzy Rough Set Approach [PDF]
Transactions on Fuzzy Sets and Systems, 2023 In fuzzy set theory, the concept of a non-membership function and the hesitation margin were not considered while these two concepts have been included along with the membership function for intuitionistic fuzzy sets. It is also to be noted that the
Jaydip Bhattacharya
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Research on decision method based on probability hesitation fuzzy comprehensive distance measure
Xibei Gongye Daxue Xuebao, 2023 Aiming at the defects of the existing probabilistic hesitation fuzzy distance measures, which require the number of membership degree to be consistent and the order to be rearranged, a probabilistic hesitation fuzzy multi-attribute decision making method
LIU Ying, GUAN Xin, WU Bin
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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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Fuzzy risk assessment of a deeply buried tunnel under incomplete information [PDF]
Royal Society Open Science, 2018 Risk assessment has always been an important part of safety risk research in tunnel and underground engineering. Owing to the characteristics of tunnel construction, to achieve an expected risk control effect, it is necessary to carry out accurate risk ...
Yuanpu Xia +4 more
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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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A measure of consistency for fuzzy logic theories
Mathematical Methods in the Applied Sciences, 2021 Fuzzy logic has shown to be a suitable framework to handle contradictions in which, unsurprisingly, the notion of inconsistency can be defined in different ways. This paper starts with a short survey of different ways to define the notion of inconsistency in fuzzy logic systems.
Nicolás Madrid, Manuel Ojeda‐Aciego
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