阴影集、直觉模糊集及其三向决策

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of Applied Mathematics Statistics and Informatics Pub Date : 2022-01-01 DOI:10.22457/jmi.v22a02206

Guangpeng Ta, Z. Gong

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引用次数: 1

摘要

三向决策理论为不确定和信息不完全情况下双向决策难以进行时的决策提供了有效的工具。本文尝试利用两个直觉模糊参数和经典阴影集，将直觉模糊集转化为悲观阴影集或乐观阴影集。据此，利用所提出的阴影集研究了直觉模糊集的悲观三向决策和乐观三向决策。此外，提出了一种用最小代价原理计算阈值的方法，并通过算例说明了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Shadowed Set, Intuitionistic Fuzzy Set and their Three-way Decision

The theory of three-way decision provides an effective tool for decision-making under uncertainty and incomplete information when a two-way decision is difficult to make. In this paper, we try to transform an intuitionistic fuzzy set into a pessimistic shadowed set or an optimistic shadowed set by using two intuitionistic fuzzy parameters and the classical shadowed set. Accordingly, the pessimistic three-way decision or the optimistic three-way decision of intuitionistic fuzzy set are investigated by means of the proposed shadowed sets. In addition, a method to calculate the thresholds by the minimum cost principle is proposed and some examples are given for illustrating the validity of the method.

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来源期刊

Journal of Applied Mathematics Statistics and Informatics MATHEMATICS, APPLIED-

自引率

0.00%

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审稿时长

20 weeks