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

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

Pachaiyappan Muthukumar, Sai Sundara Krishnan Gangadharan
Copyright: © 2018 |Volume: 7 |Issue: 3 |Pages: 23
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781522546276|DOI: 10.4018/IJFSA.2018070105
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MLA

Muthukumar, Pachaiyappan, and Sai Sundara Krishnan Gangadharan. "Ordered Intuitionistic Fuzzy Soft Sets and Its Application in Decision Making Problem." IJFSA vol.7, no.3 2018: pp.76-98. http://doi.org/10.4018/IJFSA.2018070105

APA

Muthukumar, P. & Gangadharan, S. S. (2018). Ordered Intuitionistic Fuzzy Soft Sets and Its Application in Decision Making Problem. International Journal of Fuzzy System Applications (IJFSA), 7(3), 76-98. http://doi.org/10.4018/IJFSA.2018070105

Chicago

Muthukumar, Pachaiyappan, and Sai Sundara Krishnan Gangadharan. "Ordered Intuitionistic Fuzzy Soft Sets and Its Application in Decision Making Problem," International Journal of Fuzzy System Applications (IJFSA) 7, no.3: 76-98. http://doi.org/10.4018/IJFSA.2018070105

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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.

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