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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Kamal Kumar & Harish Garg, 2018. "Prioritized Linguistic Interval-Valued Aggregation Operators and Their Applications in Group Decision-Making Problems," Mathematics, MDPI, vol. 6(10), pages 1-26, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:10:p:209-:d:176314
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    References listed on IDEAS

    as
    1. Wang, Xiaoting & Triantaphyllou, Evangelos, 2008. "Ranking irregularities when evaluating alternatives by using some ELECTRE methods," Omega, Elsevier, vol. 36(1), pages 45-63, February.
    2. Huimin Zhang, 2014. "Linguistic Intuitionistic Fuzzy Sets and Application in MAGDM," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, April.
    3. Peide Liu & Xi Liu, 2017. "Multiattribute Group Decision Making Methods Based on Linguistic Intuitionistic Fuzzy Power Bonferroni Mean Operators," Complexity, Hindawi, vol. 2017, pages 1-15, January.
    4. Peide Liu & Peng Wang, 2017. "Some Improved Linguistic Intuitionistic Fuzzy Aggregation Operators and Their Applications to Multiple-Attribute Decision Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 817-850, May.
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