Multi-attribute decision-making method based on q-rung orthopair probabilistic hesitant fuzzy schweizer-sklar power weighted hamy mean operator

Abstract

In order to further improve the computing power of the information aggregation operator in the q-rung orthopair probabilistic hesitant fuzzy environment, this paper proposes a multi-attribute decision-making method based on the q-rung orthopair probabilistic hesitant fuzzy Schweizer-Sklar power weighted Hamy mean operator. Firstly, the algorithm of q-rung orthopair probabilistic hesitant fuzzy set is improved based on the Schweizer-Sklar T-norm. In order to better reflect the degree of hesitation of decision-making experts, a new q-rung orthopair probabilistic hesitant fuzzy distance measure is proposed, which provides a basis for subsequent power weighted calculations. Furthermore, considering the correlation between attributes and the influence of data extremes, some information aggregation operators and their power weighted forms are proposed. Finally, a multi-attribute decision-making model based on the q-rung orthopair probabilistic hesitant fuzzy Schweizer-Sklar power weighted Hamy mean operator is established, and the reliability and validity of the research content in this paper are verified through decision-making examples and comparative analysis.

Multi Criteria Decision Analysis, Hesitant Fuzzy Methodology towards to Expert Systems for analysing financial markets dynamics

“…Nevertheless, the financial applications of HFS are still limited. Bisht and Kumar [74] proposed the use of HFS for financial time series forecasting while Deng and Zhang [75] constructed a HFS environment within which evaluating the development level of digital inclusive finance. A fuzzy environment has been selected also in Li et al [76] to evaluate the supply chain finance credit risk within a multicriteria decision-making (MCDM) approach.…”

A MAGDM approach for evaluating the impact of artificial intelligence on education using 2-tuple linguistic q-rung orthopair fuzzy sets and Schweizer-Sklar weighted power average operator

“…Mahmood and ur Rehman ( 2023 ) investigated the principles for operation depend on the t-norm and t-conorm of SS and created aggregation operators based on these operational laws in the context of a Bipolar complex fuzzy BCF collection. Chen et al ( 2023 ) proposed an advanced method for multi-attribute decision-making (MADM) in the context of q -rung orthopair probabilistic hesitant fuzzy environments. They introduced the q -rung orthopair probabilistic hesitant fuzzy SS power weighted Hamy mean operator to improve the computational capabilities of the information aggregation operator.…”

Cosine similarity and distance measures for p,q− quasirung orthopair fuzzy sets: Applications in investment decision-making

“…For example, Ali [ 15 ] devised a q-ROF distance measure by utilizing a matrix norm and a strictly increasing (or decreasing) function. Chen et al [ 16 ] introduced a multi-attribute decision-making approach utilizing the q-rung orthopair probabilistic hesitant fuzzy Schweizer-Sklar power weighted Hamy mean operator. Vimala et al [ 17 ] explored two novel concepts, namely q-rung orthopair multi-fuzzy set and q-rung orthopair multi-fuzzy soft set, merging the advantages of both q-rung orthopair fuzzy set and multi-fuzzy soft set.…”