Prioritized Linguistic Interval-Valued Aggregation Operators and Their Applications in Group Decision-Making Problems

Kamal Kumar and Harish Garg
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Kamal Kumar: School of Mathematics, Thapar Institute of Engineering & Technology, Deemed University, Patiala, 147004 Punjab, India
Harish Garg: School of Mathematics, Thapar Institute of Engineering & Technology, Deemed University, Patiala, 147004 Punjab, India

Mathematics, 2018, vol. 6, issue 10, 1-26

Abstract: The linguistic interval-valued intuitionistic fuzzy (LIVIF) set is an efficient tool to represent data in the form of interval membership degrees in a qualitative rather than a quantitative manner. The LIVIF set combines the features of interval-valued intuitionistic fuzzy sets (IFSs) and the linguistic variables (LV) and hence provides more freedom to decision-makers. Under this environment, the main objective of this manuscript is to propose some new aggregation operators by capturing the prioritized relationship between the objects. For this, different weighted averaging and geometric aggregation operators are proposed in which preferences related to each object are expressed in terms of LIVIF numbers. Desirable properties of the proposed operators are studied. Further, a group decision-making (DM) approach is presented to solve the multi-attribute DM problems, and its efficiency has been verified with an illustrative example.

Keywords: interval-valued numbers; aggregation operators; group decision-making (DM); linguistic numbers; prioritized operators; multi-attribute group decision-making (MAGDM) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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