Supremum and Infimum Operations on Fuzzy Sets

Afroja Akter

Abstract


In this paper we have shown comparison between classical set and fuzzy set. Also we have discussed some basic definitions and properties related to fuzzy set that is used in this paper. Then we collected three theorems by reviewing some papers, which were unproved there and we proved these theorems. We have reviewed some research papers with proper references to do our work.


Keywords


Fuzzy set, Membership function, Standard Union & Intersection

Full Text:

PDF

References


Zadeh L. A., Fuzzy sets, Information and Control, 8(1965) 338-353.

George J Klir, Yuan Bo, Fuzzy sets and fuzzy logic, Theory and Applications, Prentice-Hall Inc. N.J. U.S.A. 1995.

Lowen, Fuzzy set theorey, Department of Mathematics and Computer Science, University of Antwerp; Belgium, Basic Concepts, Techniques and Bibliography, Kluwer Academic Publishers Dordrecht/ Boston/ London.

Mitra N.K., Fuzzy set and fuzzy relational structure using T-norm and Matlab, Department of Mathematics, University of Dhaka.

Steve Carlson, Fuzzy Sets and Fuzzy Topologies, Early ideals and Obstacles, Rose-Hulman Institute of Technology, Part I (May 10).

C.L. Chang, Fuzzy topological spaces, Journal of Mathematical Analysis and Application, 24,182-190(1968).

David H. Foster, Fuzzy Topological Groups, Journal of Mathematical Analysis and Application, Academic Press, New York and London, Vol. 67, No.2, February 1979.


Refbacks

  • There are currently no refbacks.


Copyright (c) 2015 Journal of Progressive Research in Mathematics

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

Copyright © 2016 Journal of Progressive Research in Mathematics. All rights reserved.

ISSN: 2395-0218.

For any help/support contact us at editorial@scitecresearch.com, jprmeditor@scitecresearch.com.