Study on Sugeno Probability Integral of γ-fuzzy Operator

As an indispensable branch of fuzzy mathematics, fuzzy probability integral is an important integral form that relies on fuzzy probability and fuzzy measure, and is also a powerful tool for studying fuzzy mathematics. Aiming at the definition and theorem research of fuzzy probability, fuzzy measure...

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Bibliographic Details
Main Authors: ZHAO Hui, SHAN Yunxiao, JIANG Xinge
Format: Article
Language:zho
Published: Harbin University of Science and Technology Publications 2020-08-01
Series:Journal of Harbin University of Science and Technology
Subjects:
Online Access:https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1858
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Summary:As an indispensable branch of fuzzy mathematics, fuzzy probability integral is an important integral form that relies on fuzzy probability and fuzzy measure, and is also a powerful tool for studying fuzzy mathematics. Aiming at the definition and theorem research of fuzzy probability, fuzzy measure and its integral, two kinds of ideal γ-fuzzy operator form is given, which proves that the condition of triangular norm operator is satisfied; And under the background of the proposed relevance measure space, the definition and theorem of generalized Sugeno probability integral are given, verification of a number of theorems that satisfy the condition to prove its feasibility.
ISSN:1007-2683