Abstract
AbstractWith respect to multiple attribute decision making (MADM) problems in which the attribute value takes the form of intuitionistic trapezoidal fuzzy number, a new decision making analysis method is developed. Firstly, some operational laws and expected values of intuitionistic trapezoidal fuzzy numbers, and distance between two intuitionistic trapezoidal fuzzy numbers, are introduced, and the comparison method for the intuitionistic trapezoidal fuzzy numbers is proposed. Then, combined the power aggregation operator and the generalized aggregation operator, a power generalized average (PGA) operator is proposed, and some properties of the PGA operator, such as idempotency, boundary, commutativity, etc., are studied. At the same time, some special cases of the generalized parameters in PGA operator are analyzed. Furthermore, an intuitionistic trapezoidal fuzzy power generalized weighted average (ITFPGWA) operator is also proposed for the intuitionistic trapezoidal fuzzy information, and some properti...
Highlights
Multiple attribute decision making (MADM) problems are the important research contents of decision theory
An uncertain PG (UPG) operator and its weighted form, and an uncertain power-ordered-weighted-geometric (UPOWG) operator are proposed to aggregate the input arguments taking the form of interval of numerical values, and the approaches to group decision making are developed based on these operators
Motivated by the idea of power aggregation operator proposed by Yager[23] and the generalized aggregation operators proposed by Yager[18] and Zhao et al.[20], this paper is to propose some operators, such as a power generalized average (PGA) operator and an intuitionistic trapezoidal fuzzy power generalized weighted average (ITFPGWA) operator, and study some properties of these operators, such as idempotency, boundary, commutativity, etc
Summary
Multiple attribute decision making (MADM) problems are the important research contents of decision theory. Merigó and Casanovas[22] introduced the fuzzy generalized hybrid averaging (FGHA) operator for the multi-attribute decision-making problems in which the attribute values take the form of the fuzzy number; this expanded the application scope of GHA operator. An uncertain PG (UPG) operator and its weighted form, and an uncertain power-ordered-weighted-geometric (UPOWG) operator are proposed to aggregate the input arguments taking the form of interval of numerical values, and the approaches to group decision making are developed based on these operators. Xu25 developed a series of operators for aggregating the intuitionistic fuzzy numbers, and established various properties of these power aggregation operators, and some approaches to multiple attribute group decision making with intuitionistic fuzzy information and interval-valued intuitionistic fuzzy information were proposed. Propose an approach to deal with group decision making problems under intuitionistic trapezoidal fuzzy information
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