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MULTI-ATTRIBUTE DECISION MAKING METHOD BASED ON BONFERRONI MEAN OPERATOR and possibility degree OF INTERVAL TYPE-2 TRAPEZOIDAL FUZZY SETS | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 7، دوره 13، شماره 5، زمستان 2016، صفحه 97-115 اصل مقاله (411.14 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2756 | ||
نویسندگان | ||
Yanbing Gong* ؛ Liangliang Dai؛ Na Hu | ||
Department of Information Management, Hohai University,Changzhou, Jiangsu Province, China | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Multi-attributes group decision making؛ Interval type-2 fuzzy sets؛ Bonferroni mean operator؛ IT2TFWBM operator | ||
مراجع | ||
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