Abstract
In the real decision-making, there are many multiple attribute decision-making (MADM) problems, in which there exists the prioritised relationship among decision-making attributes. In this paper, with respect to the prioritised multi-criteria decision-making problems under intuitionistic trapezoidal fuzzy information, a new decision-making method on the basis of the intuitionistic trapezoidal fuzzy prioritised ordered weighted aggregation operator has been proposed. Firstly, the definitions, operational rules and characteristics of intuitionistic trapezoidal fuzzy numbers and POWA operator have been introduced. Then, intuitionistic trapezoidal fuzzy prioritised ordered weighted aggregation (ITFPOWA) operator has been defined as well as the computational method of associated weight, and some properties have been studied and proved. Furthermore, based on the ITFPOWA operator, an approach to the multi-criteria decision-making with intuitionistic trapezoidal fuzzy numbers has been established. Finally, an illustrative example has been given to prove the evaluation procedures of the developed approach and to demonstrate its practicality and validity.
Highlights
There are many multi-attribute decision-making (MADM) problems, which received considerable attention in the past few years
Fuzzy number intuitionistic fuzzy prioritised weighted average (FNIFPWA) operator and fuzzy number intuitionistic fuzzy prioritised weighted geometric (FNIFPWG) operator were proposed by Lin et al (2013)
The research on the prioritised fuzzy multiple attribute decision-making (MADM) method based on the intuitionistic trapezoidal fuzzy numbers has broad application prospects
Summary
There are many multi-attribute decision-making (MADM) problems, which received considerable attention in the past few years. Zhang and Liu (2010) defined the triangular intuitionistic fuzzy numbers by extending the membership degree and the non-membership degree to the triangular fuzzy numbers, and proposed the weighted arithmetic averaging operator and the weighted geometric average operator Based on these operators, a method of multiple attribute group decision-making (MAGDM) with triangular intuitionistic fuzzy information has been established. The weighted geometric aggregation operator of trapezoidal fuzzy numbers for group decision-making was presented by Liu and Jin (2012a). Based on prioritised aggregated operator, Yager (2009) proposed the prioritised ordered weighted average (OWA) operator for the prioritised decision-making problems, in which there exists a relationship between the criteria.
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