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Title

ARITHMETIC AGGREGATION OPERATORS FOR INTERVAL-VALUED INTUITIONISTIC LINGUISTIC VARIABLES AND APPLICATION TO MULTI-ATTRIBUTE GROUP DECISION MAKING

Writers

DONG JIUYING | WANG SHUPING

Pages

 Start Page 1 | End Page 23

Abstract

 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.

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