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

Author:

Bhattacharyya SurajitORCID

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 .

Publisher

Granthaalayah Publications and Printers

Subject

Ocean Engineering

Reference6 articles.

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

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

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

5. 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

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1. Statistical Quality Control: Acceptance Sampling Plans in the Light of Fuzzy Mathematics;Journal of Statistical Theory and Applications;2023-07-22

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