The Complement of Normal Fuzzy Numbers: An Exposition

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Mamoni Dhar 1,* Hemanta. K. Baruah 2

1. Department of Mathematics, Science College, Kokrajhar, Assam, India

2. Department of Statistics, Gauhati University, Guwahati, Assam, India

* Corresponding author.


Received: 5 Sep. 2012 / Revised: 8 Jan. 2013 / Accepted: 26 Mar. 2013 / Published: 8 Jul. 2013

Index Terms

Reference Function, Membership Value, Randomness-Fuzziness Consistency Principles, Fuzzy Cardinality of Fuzzy Sets, Left Reference Function, Right Reference Function


In this article, our main intention is to revisit the existing definition of complementation of fuzzy sets and thereafter various theories associated with it are also commented on. The main contribution of this paper is to suggest a new definition of complementation of fuzzy sets on the basis of reference function. Some other results have also been introduced whenever possible by using this new definition of complementation.

Cite This Paper

Mamoni Dhar, Hemanta .K. Baruah, "The Complement of Normal Fuzzy Numbers: An Exposition", International Journal of Intelligent Systems and Applications(IJISA), vol.5, no.8, pp.73-82, 2013. DOI:10.5815/ijisa.2013.08.09


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