Decision Method of Probabilistic Hesitant Fuzzy Information Based on Hamacher Aggregation Operators and MULTIMOORA

基于Hamacher范数的广义概率犹豫模糊MULTIMOORA决策方法

¹ School of Mathematics and Statistics, Shaanxi Xueqian Normal University, Xi'an 710100, China
² School of Computer Science, Northwestern Polytechnical University, Xi'an 710072, China

Received: 12 January 2020

Abstract

Aiming at solving the problem of probability hesitation fuzzy multi-attribute decision making, a new decision-making method of probability hesitation fuzzy multi-attribute is proposed in this paper, based on Hamacher operations and MULTIMOORA method. Firstly, probability hesitation fuzzy Hamacher operations are defined, including sum, product, scalar multiplication and exponentiation, and their properties are studied. On this basis, probability hesitation fuzzy Hamacher weighted average operator and probability hesitation fuzzy Hamacher weighted geometric average operator are proposed, and their properties are also studied. Secondly, alternative from multiple perspectives are chosen and compared by using the MULTIMOORA method. Finally, the effectiveness and feasibility of the decision-making method are verified by an example.

摘要

针对概率犹豫模糊多属性决策问题，提出了基于Hamacher范数的广义概率犹豫模糊MULTIMOORA决策方法。首先，定义概率犹豫模糊Hamacher运算，包括和、积、数乘、幂，并研究这些运算的性质；在此基础上，提出了概率犹豫模糊Hamacher加权平均算子和概率犹豫模糊Hamacher加权几何平均算子，并对其性质进行了研究；其次，采用MULTIMOORA方法从多个角度对方案进行选择和比较。最后，通过实例验证了决策方法的有效性和可行性。