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On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies

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  • Tanuj Kumar
  • Rakesh Kumar Bajaj

Abstract

We introduce the concept of complex intuitionistic fuzzy soft sets which is parametric in nature. However, the theory of complex fuzzy sets and complex intuitionistic fuzzy sets are independent of the parametrization tools. Some real life problems, for example, multicriteria decision making problems, involve the parametrization tools. In order to get their new entropies, some important properties and operations on the complex intuitionistic fuzzy soft sets have also been discussed. On the basis of some well-known distance measures, some new distance measures for the complex intuitionistic fuzzy soft sets have also been obtained. Further, we have established correspondence between the proposed entropies and the distance measures of complex intuitionistic fuzzy soft sets.

Suggested Citation

  • Tanuj Kumar & Rakesh Kumar Bajaj, 2014. "On Complex Intuitionistic Fuzzy Soft Sets with Distance Measures and Entropies," Journal of Mathematics, Hindawi, vol. 2014, pages 1-12, December.
    • Handle: RePEc:hin:jjmath:972198
    DOI: 10.1155/2014/972198
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    Cited by:

    1. Harish Garg & Dimple Rani, 2019. "Exponential, Logarithmic and Compensative Generalized Aggregation Operators Under Complex Intuitionistic Fuzzy Environment," Group Decision and Negotiation, Springer, vol. 28(5), pages 991-1050, October.
    2. Harish Garg & Jeonghwan Gwak & Tahir Mahmood & Zeeshan Ali, 2020. "Power Aggregation Operators and VIKOR Methods for Complex q-Rung Orthopair Fuzzy Sets and Their Applications," Mathematics, MDPI, vol. 8(4), pages 1-34, April.
    3. Zeeshan Ali & Tahir Mahmood & Muhammad Aslam & Ronnason Chinram, 2021. "Another View of Complex Intuitionistic Fuzzy Soft Sets Based on Prioritized Aggregation Operators and Their Applications to Multiattribute Decision Making," Mathematics, MDPI, vol. 9(16), pages 1-29, August.
    4. S. Rajareega & J. Vimala & D. Preethi, 2020. "Complex Intuitionistic Fuzzy Soft Lattice Ordered Group and Its Weighted Distance Measures," Mathematics, MDPI, vol. 8(5), pages 1-13, May.

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