Theory and Applications of Non-additive Measures and Corresponding Integrals

Pap, Endre

doi:10.1007/978-3-642-41550-0_1

Cited by 3 publications

(2 citation statements)

References 29 publications

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“…Step 3: Obtain the result of μ(H j ). According to the above calculation results, (H j ) can be expressed as Additionally, we first assume that there exits the following fuzzy measure μ with respect to the given criteria [65], [66]:…”

Section: B Applicationmentioning

confidence: 99%

A Generalized Golden Rule Representative Value for Multiple-Criteria Decision Analysis

Liu

Xiao

Lin

et al. 2021

IEEE Trans. Syst. Man Cybern, Syst.

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Multicriteria decision analysis evaluates multiple conflicting criteria in decision making, but conflicting criteria are typical in evaluating options. As the existing ordering operations involved in multicriteria decision making cannot easily be implemented with intervals, we assume that scalar representative values with intervals can effectively avoid this issue. To deal with interval-valued criteria, we propose a generalized golden rule representative value approach, which involves the sigmoid function of backpropagation neural networks to tune parameters. Our approach considers the uncertainties and side effects of the interval variables to improve individual scalar representative values. Based on numerical examples, we address the effectiveness of the proposed approach, and we provide a specific application concerning multicriteria decision making with interval criteria satisfaction.

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Section: B Applicationmentioning

confidence: 99%

A Generalized Golden Rule Representative Value for Multiple-Criteria Decision Analysis

Liu

Xiao

Lin

et al. 2021

IEEE Trans. Syst. Man Cybern, Syst.

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show abstract

“…Many extensions of Zadeh's fuzzy set, such as vague set, intuitionistic fuzzy, hesitant fuzzy set, etc., have been proposed and been utilized management decision and engineering science problems [6][7][8][9][10][11][12]. Fuzzy integral, first introduced by Sugeno in 1974, is an important analytical tool to measure uncertain information [13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Hermite-Hadamard Type Fuzzy Inequalities based on s-Convex Function in the Second Sense

Li¹

2017

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Integral inequalities have important applications in propability and engineering field. Sugeno integral is an important fuzzy integral in fuzzy theory, which has many applications in various fields. The object of this paper is to develop some new integral inequalities for Sugeno integral. Based on classical Hermite-Hadamard type inequality, this paper intends to extend it for the Sugeno integral. Some new Hermite-Hadamard type inequalities are derived for Sugeno integral based on sconvex function in the second sense. An example is used to illustrate the effectiveness of the new inequalities.

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On pseudo-metric spaces induced by σ-⊥-decomposable measures

Xie

Chen

et al. 2016

Fuzzy Sets and Systems

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Theory and Applications of Non-additive Measures and Corresponding Integrals

Cited by 3 publications

References 29 publications

A Generalized Golden Rule Representative Value for Multiple-Criteria Decision Analysis

A Generalized Golden Rule Representative Value for Multiple-Criteria Decision Analysis

Hermite-Hadamard Type Fuzzy Inequalities based on s-Convex Function in the Second Sense

On pseudo-metric spaces induced by σ-⊥-decomposable measures

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