FUZZY SET THEORY---------- SOME USEFUL DISCUSSIONS AND INVESTIGATIONS

Authors

  • Surajit Bhattacharyya Department of Mathematics, Seth Anandram Jaipuria College,(The University of Calcutta), West Bengal, India https://orcid.org/0000-0001-6293-9775

DOI:

https://doi.org/10.29121/granthaalayah.v9.i8.2021.4124

Keywords:

The α-Cut Sets, Fuzzy Unions, S.Bs. Class of Fuzzy Complements, Fuzzy Numbers

Abstract

In this paper I have discussed some basic but very important theories of fuzzy set theory with numerous examples. I have investigated α-sets, operations of fuzzy numbers, on interval fuzzy sets and also on fuzzy mappings. I have introduced S.Bs. class of fuzzy complements with its increasing and decreasing generators .

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References

A. Kaufmann and M. N. Gupta (1991). -- Introduction to Fuzzy Arithmetic Theory and Applications. New York, NY: Van Nostrand Reinhold

G. Alefeld and J. Herzberger (1983). —Introduction to interval computations. New York, NY : Academic Press.

H-J. Zimmermann. (2011) —Fuzzy set theory – and its application. 4th edition. ISBN—978 – 94 – 010 – 0646n – 0.

I. N. Herstein (n.d.). -- Topics in Algebra.

John N. Mordeson, Premchand S. Nair (2001). -- Fuzzy Mathematics. ISBN – 978 – 3 – 7908 – 1808 – 6. Retrieved from https://link.springer.com/book/10.1007/978-3-7908-1808-6

S. Nanda, N. R. Das (2021).-- Fuzzy Mathematical concepts

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Published

2021-08-31

How to Cite

bhattacharyya, S. (2021). FUZZY SET THEORY---------- SOME USEFUL DISCUSSIONS AND INVESTIGATIONS. International Journal of Research -GRANTHAALAYAH, 9(8), 125–149. https://doi.org/10.29121/granthaalayah.v9.i8.2021.4124