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Arithmetic Aggregation Operators for Interval-valued Intuitionistic Linguistic Variables and Application to Multi-attribute Group Decision Making | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 2، دوره 13، شماره 1، اردیبهشت 2016، صفحه 1-23 اصل مقاله (457.08 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2284 | ||
نویسندگان | ||
Jiuying Dong1؛ Shu-Ping Wan* 2 | ||
1School of Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, China and Research Center of Applied Statistics, Jiangxi University of Finance and Economics, Nanchang 330013, China | ||
2College of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, China | ||
چکیده | ||
The intuitionistic linguistic set (ILS) is an extension of linguisitc variable. To overcome the drawback of using single real number to represent membership degree and non-membership degree for ILS, the concept of interval-valued intuitionistic linguistic set (IVILS) is introduced through representing the membership degree and non-membership degree with intervals for ILS in this paper. The operation law, score function, accuracy function , and certainty function for interval-valued intuitionistic linguistic varibales (IVILVs) are defined. Hereby a lexicographic method is proposed to rank the IVILVs. Then, three kinds of interval-valued intuitionistic linguistic arithmetic average operators are defined, including the interval-valued intuitionistic linguistic weighted arithmetic average (IVILWAA) operator, interval-valued intuitionistic linguistic ordered weighted arithmetic (IVILOWA) operator, and interval-valued intuitionistic linguistic hybrid arithmetic (IVILHA) operator, and their desirable properties are also discussed. Based on the IVILWAA and IVILHA operators, two methods are proposed for solving multi-attribute group decision making problems with IVILVs. Finally, an investment selection example is illustrated to demonstrate the applicability and validity of the methods proposed in this paper. | ||
کلیدواژهها | ||
Multi-attribute group decision making؛ Interval-valued intuitionistic linguistic set؛ Intuitionistic fuzzy set؛ Arithmetic operators | ||
مراجع | ||
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