A Study on Type - 2 Triangular Mixed Fuzzy Numbers

Authors

  • K. Thiripurasundari  Department of Mathematics, Poompuhar Collge (Autonomous), Melaiyur,Tamil Nadu, India

Keywords:

Type -2 fuzzy set, Type - 2 fuzzy number, Type - 2 Triangular Fuzzy Number.

Abstract

The concept of a type - 2 fuzzy set which is an extension of the concept of an ordinary fuzzy set was introduced by Zadeh [5]. Type -2 fuzzy sets possess a great expressive power and are conceptually quite appealing. In this paper, the concept of type -2 triangular mixed fuzzy number(T2TMFN) is proposed. Also arithmetic operations on T2TMFNs and ranking function of T2TMFN are defined. Relevant numerical examples are included.

References

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  2. J. Klir, B. Yuan, “ Fuzzy sets and Fuzzy Logic”: Theory and Applications, Prentice Hall, Englewood cliffs, NJ, 1995.
  3. Stephen Dinagar, A.Anbalagan,. “Fuzzy Programming based on Type-2 Generalized Fuzzy Numbers”, International J.of Math. Sci. &Engg. Appls. Vol.5, No.IV (July 2011), pp317- 329.
  4. A Zadeh, “ Fuzzy sets”, Information and Control, 8 (1965), 338-353.
  5. A Zadeh, “ The Fuzzy concept of a Linguistic Variable and its Application to Approximate Reasoning 1”, Inform. Sci. 8 (1975), 199-249.

International Journal of Scientific Research in Science, Engineering and Technology

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Published

2016-10-30

Issue

Volume 2, Issue 5, September-October-2016

Section

Research Articles

License

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
K. Thiripurasundari, " A Study on Type - 2 Triangular Mixed Fuzzy Numbers, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 2, Issue 5, pp.83-85, September-October-2016.