Abstract
Axiomatic Design (AD) principles have been used to resolve the multicriteria decision making (MCDM) problems in engineering. With respect to MCDM problems in intuitionistic fuzzy environment, in which the criteria values take the form of intuitionistic fuzzy numbers, a new MCDM method is developed. Firstly, the approach proposed by Chen is extended to aggregate the decision makers’ opinions in intuitionistic fuzzy environment. Secondly, membership common area and nonmembership common area are derived from the membership probability density function and the nonmembership probability density function, respectively. Then the membership information content and nonmembership information content are obtained based on the basic ideal of axiomatic design principles. Afterwards, the score functionSand accuracy functionHin intuitionistic fuzzy sets are extended with the information content to compare the alternatives. The alternatives that have the lowest values of functions ofSandHare the best. Finally, a numerical example is used to illustrate the availability of the proposed method.
Highlights
Decision making problems are widespread in engineering such as in construction engineering [1], industrial engineering and manufacturing systems [2,3,4,5,6], computer engineering [7, 8], chemical engineering [9, 10], aerospace mechanical engineering [11], and bioengineering [12]
The studies aiming at solving multicriteria decision making problems based on Axiomatic design (AD) principles have been proposed
Afterwards, we develop the multicriteria decision making (MCDM) method based on the extended axiomatic design principles in intuitionistic fuzzy environment
Summary
Decision making problems are widespread in engineering such as in construction engineering [1], industrial engineering and manufacturing systems [2,3,4,5,6], computer engineering [7, 8], chemical engineering [9, 10], aerospace mechanical engineering [11], and bioengineering [12]. In the application of axiomatic design principles for MCDM problems, many aspects in engineering cannot be evaluated in a quantitative form but rather in a qualitative way; that is, with vague or imprecise knowledge [26], especially in the early stage of engineering, the data available is often limited and inaccurate [27]. Axiomatic design principles are extended to solve the group decision making problems in intuitionistic fuzzy environment. We introduce some basic concepts of intuitionistic fuzzy set theory and axiomatic design principles. The axiomatic design principles are extended in intuitionistic fuzzy environment. Afterwards, we develop the MCDM method based on the extended axiomatic design principles in intuitionistic fuzzy environment. We conclude the paper and give some remarks
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