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Ordered Intuitionistic Fuzzy Soft Sets and Its Application in Decision Making Problem

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  • Pachaiyappan Muthukumar

    (PSG College of Technology, Coimbatore, India)

  • Sai Sundara Krishnan Gangadharan

    (PSG College of Technology, Coimbatore, India)

Abstract

In this article, some new basic operations and results of Ordered Intuitionistic Fuzzy Soft (OIFS) sets, such as equality, complement, subset, union, intersection, OR, and AND operators along with several examples are investigated. Further, based on the analysis of several operations on OIFS sets, numerous algebraic properties and famous De Morgans inclusions and De Morgans laws are established. Finally, using the notions of OIFS sets, an algorithm is developed and implemented in a numerical example.

Suggested Citation

  • Pachaiyappan Muthukumar & Sai Sundara Krishnan Gangadharan, 2018. "Ordered Intuitionistic Fuzzy Soft Sets and Its Application in Decision Making Problem," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 7(3), pages 76-98, July.
    • Handle: RePEc:igg:jfsa00:v:7:y:2018:i:3:p:76-98
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