The q-Rung orthopair fuzzy hamacher generalized shapley choquet integral operator and its application to multiattribute decision making

IF 2.3 Q3 MANAGEMENT EURO Journal on Decision Processes Pub Date : 2022-01-01 DOI:10.1016/j.ejdp.2022.100012

Pankaj Kakati , Saifur Rahman

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引用次数: 4

Abstract

The $q$ -rung orthopair fuzzy sets ( $q$ -ROFs) which are eminent extensions of the intuitionistic fuzzy sets and the pythagorean fuzzy sets can be considered as an efficient tool for modeling real life decision making problems involving uncertainty of information. In this paper, in order to reflect the correlation among the attributes of real decision making problems, the Choquet integral operator is extended to develop the $q$ -rung orthopair fuzzy Hamacher generalized Shapley Choquet integral ( $q$ -ROFHGSCI) operator under the $q$ -rung orthopair fuzzy environment. Furthermore, some important properties and special cases of the $q$ -ROFHGSCI operator are discussed. An approach for multiattribute decision making based on $q$ -ROFHGSCI operator is developed. Finally, a numerical example is provided to illustrate the proposed approach.

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q-Rung正交模糊哈马赫广义shapley choquet积分算子及其在多属性决策中的应用

q阶正交模糊集(q-rung orthopair fuzzy set, q-ROFs)是直觉模糊集和毕达哥拉斯模糊集的杰出扩展，可以被认为是建模现实生活中涉及信息不确定性的决策问题的有效工具。为了反映实际决策问题属性之间的相关性，本文对Choquet积分算子进行了扩展，得到了q阶正形模糊环境下的q阶正形模糊Hamacher广义Shapley Choquet积分(q-ROFHGSCI)算子。进一步讨论了q-ROFHGSCI算子的一些重要性质和特殊情况。提出了一种基于q-ROFHGSCI算子的多属性决策方法。最后，给出了一个数值算例来说明所提出的方法。

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来源期刊

EURO Journal on Decision Processes MANAGEMENT-

CiteScore

2.70

自引率

10.00%

发文量