FUZZY SET THEORY---------- SOME USEFUL DISCUSSIONS AND INVESTIGATIONS
Keywords:The α-Cut Sets, Fuzzy Unions, S.Bs. Class of Fuzzy Complements, Fuzzy Numbers
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 .
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
How to Cite
Copyright (c) 2021 Surajit Bhattacharyya
This work is licensed under a Creative Commons Attribution 4.0 International License.