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Fuzzy Integral Equations and Strong Fuzzy Henstock Integrals [PDF]
Abstract and Applied Analysis, 2014 By using the strong fuzzy Henstock integral and its controlled convergence theorem, we generalized the existence theorems of solution for initial problems of fuzzy discontinuous integral equation.
Yabin Shao, Huanhuan Zhang
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The Alternative Representation of the Bipolar Sugeno Integral [PDF]
Engineering and Technology Journal, 2022 In the context of decision support systems, bi-capacities were introduced as an extension of classical capacities. Many bipolar fuzzy integrals related to the bi-capacities have been presented in recent years.
Jabbar Abbas, Hossein Jafari
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Measure Identification for the Choquet Integral: A Python Module
International 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
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Hermite–Hadamard-Type Inequalities for Coordinated Convex Functions Using Fuzzy Integrals
Mathematics, 2023 In this paper, some estimates of third and fourth inequalities in Hermite–Hadamard-type inequalities for coordinated convex functions are proved using the non-additivity of the integrals and Fubini’s theorem for fuzzy integrals.
Muhammad Amer Latif
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Mathematics, 2022 In interval analysis, the fuzzy inclusion relation and the fuzzy order relation are two different concepts. Under the inclusion connection, convexity and non-convexity form a substantial link with various types of inequalities.
Muhammad Bilal Khan +4 more
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An Application of Non-additive Measures and Corresponding Integrals in Tourism Management
مجلة بغداد للعلوم, 2020 Non-additive measures and corresponding integrals originally have been introduced by Choquet in 1953 (1) and independently defined by Sugeno in 1974 (2) in order to extend the classical measure by replacing the additivity property to non-additive ...
Sabri et al.
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Mathematics, 2023 Covering granular reduction is an important issue in multi-covering information systems. The main methods to solve this problem are set operators. How to solve this problem by quantitative analysis is an interesting topic.
Jingqian Wang +2 more
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Decomposition Integrals of Set-Valued Functions Based on Fuzzy Measures
Mathematics, 2023 The decomposition integrals of set-valued functions with regards to fuzzy measures are introduced in a natural way. These integrals are an extension of the decomposition integral for real-valued functions and include several types of set-valued integrals,
Leifan Yan, Tong Kang, Huai Zhang
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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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