Original scientific paper
https://doi.org/10.17535/crorr.2023.0015
Non-linear averaging-based operators of pseudo-hesitant fuzzy elements and an application
Abazar Keikha
; Department of Mathematics, Velayat University, Iranshahr, IRAN
Tabasam Rashid
; Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Abstract
Data modeling/aggregating, in many uncertain real-world' problems such as decision-making processes, has gotten more attention in recent years. Due to a variety of uncertainty sources, various types of fuzzy sets, and various types of averaging-based aggregation functions have been proposed. The power average operator (PAO), as a nonlinear operator, is more appropriate than other averaging-based functions for situations where different values are given on a single subject. In this paper, PAO will be extended to be used in the aggregation process of given pseudo-hesitant fuzzy elements (pseudo-HFEs), and some needed properties have been discussed, too. Then, four kinds of PAO with pseudo-HFEs, i.e., power average operator of pseudo-HFEs, power weighted average operator of pseudo-HFEs, power ordered weighted average operator of pseudo-HFEs and power hybrid average operator of pseudo-HFEs, will be defined. To solve a multi-attribute group decision-making (MAGDM) problem, the evaluation step done by both decision-makers and self-assessment will be quantified by pseudo-HFEs. Then the PAO will be applied to aggregate the row elements of the resulting decision matrix. The ranking orders of obtained pseudo-HFEs, show the options' orders. Finally, the proposed method will be used to solve a multi-attribute group decision-making problem, illustrated numerically, analyzed, and validated.
Keywords
aggregation function; multi attribute group decision making; power average; pseudohesitant fuzzy elements; score functions
Hrčak ID:
311672
URI
Publication date:
19.12.2023.
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