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Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables

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  • Jun-Ling Zhang
  • Xiao-Wen Qi

Abstract

Two induced aggregation operators with novelly designed TOPSIS order-inducing variables are proposed: Induced Interval-valued Intuitionistic Fuzzy Hybrid Averaging (I-IIFHA) operator and Induced Interval-valued Intuitionistic Fuzzy Hybrid Geometric (I-IIFHG) operator. The merit of two aggregation operators is that they can consider additional preference information of decision maker’s attitudinal characteristics besides argument-dependent information and argument-independent information. Some desirable properties of I-IIFHA and I-IIFHG are studied and theoretical analysis also shows that they can include a wide range of aggregation operators as special cases. Further, we extend these operators to form a novel group decision-making method for selecting the most desirable alternative in multiple attribute multi-interest group decision-making problems with attribute values and decision maker’s interest values taking the form of interval-valued intuitionistic fuzzy numbers, and application research to real estate purchase selection shows its practicality.

Suggested Citation

  • Jun-Ling Zhang & Xiao-Wen Qi, 2012. "Induced Interval-Valued Intuitionistic Fuzzy Hybrid Aggregation Operators with TOPSIS Order-Inducing Variables," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-24, June.
    • Handle: RePEc:hin:jnljam:245732
    DOI: 10.1155/2012/245732
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    Cited by:

    1. Melda Kokoç & Süleyman Ersöz, 2021. "A literature review of interval-valued intuitionistic fuzzy multi-criteria decision-making methodologies," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 31(4), pages 89-116.
    2. Junling Zhang & Xiaowen Qi & Changyong Liang, 2018. "Tackling Complexity in Green Contractor Selection for Mega Infrastructure Projects: A Hesitant Fuzzy Linguistic MADM Approach with considering Group Attitudinal Character and Attributes’ Interdependen," Complexity, Hindawi, vol. 2018, pages 1-31, December.
    3. Xiao-Wen Qi & Jun-Ling Zhang & Shu-Ping Zhao & Chang-Yong Liang, 2017. "Tackling Complex Emergency Response Solutions Evaluation Problems in Sustainable Development by Fuzzy Group Decision Making Approaches with Considering Decision Hesitancy and Prioritization among Asse," IJERPH, MDPI, vol. 14(10), pages 1-35, October.

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