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Entropy Measures for Interval-Valued Intuitionistic Fuzzy Sets and Their Application in Group Decision-Making

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  • Cuiping Wei
  • Yuzhong Zhang

Abstract

Entropy measure is an important topic in the fuzzy set theory and has been investigated by many researchers from different points of view. In this paper, two new entropy measures based on the cosine function are proposed for intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets. According to the features of the cosine function, the general forms of these two kinds of entropy measures are presented. Compared with the existing ones, the proposed entropy measures can overcome some shortcomings and be used to measure both fuzziness and intuitionism of these two fuzzy sets; as a result, the uncertain information of which can be described more sufficiently. These entropy measures have been applied to assess the experts’ weights and to solve multicriteria fuzzy group decision-making problems.

Suggested Citation

  • Cuiping Wei & Yuzhong Zhang, 2015. "Entropy Measures for Interval-Valued Intuitionistic Fuzzy Sets and Their Application in Group Decision-Making," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-13, January.
    • Handle: RePEc:hin:jnlmpe:563745
    DOI: 10.1155/2015/563745
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    Cited by:

    1. Pushparenu Bhattacharjee & Syed Abou Iltaf Hussain & V. Dey & U. K. Mandal, 2023. "Failure mode and effects analysis for submersible pump component using proportionate risk assessment model: a case study in the power plant of Agartala," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(5), pages 1778-1798, October.
    2. Chunfeng Suo & Xuanchen Li & Yongming Li, 2023. "Distance-Based Knowledge Measure and Entropy for Interval-Valued Intuitionistic Fuzzy Sets," Mathematics, MDPI, vol. 11(16), pages 1-13, August.

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