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۱MULTI–ATTRIBUTE DECISION MAKING METHOD BASED ON BONFERRONI MEAN OPERATOR and possibility degree OF INTERVAL TYPE–2 TRAPEZOIDAL FUZZY SETS
نویسنده(ها): ، ،
اطلاعات انتشار: Iranian journal of fuzzy systems، سيزدهم،شماره۵(پياپي ۵۲)، Oct - Nov ۲۰۱۶، سال
تعداد صفحات: ۱۹
This paper proposes a new approach based on Bonferroni mean operator and possibility degree to solve fuzzy multi–attribute decision making (FMADM) problems in which the attribute value takes the form of interval type–2 fuzzy numbers. We introduce the concepts of interval possibility mean value and present a new method for calculating the possibility degree of two interval trapezoidal type–2 fuzzy sets (IT2 TrFSs). Then, we develop two aggregation techniques, which are called the interval type–2 trapezoidal fuzzy Bonferroni mean (IT2TFBM) operator and the interval type–2 trapezoidal fuzzy weighted Bonferroni mean (IT2TFWBM) operator. We study their properties and discuss their special cases. Based on the IT2TFWBM operator and the possibility degree, a new method of multi–attribute decision making with interval type–2 trapezoidal fuzzy information is proposed. Finally, an illustrative example is given to verify the developed approaches and to demonstrate their practicality and effectiveness.
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