IJPAM: Volume 98, No. 1 (2015)

MONOIDS OF S-H FUZZY PARTITIONS OF A SET

D. Singh$^1$, A.J. Alkali$^2$
$^1$Indian Institute of Technology Bombay
$^2$Department of Mathematics
Ahmadu Bello University, Zaria, NIGERIA
$^2$Department of Mathematics
Ahmadu Bello University Zaria
NIGERIA


Abstract. This research note constructs S-H fuzzy collections and S-H fuzzy partitions of a finite set. The main objective of the paper lies in defining two different operations on a class of S-H fuzzy partitions of a set and, in turn, proving that these give rise to a monoid.

Received: September 10, 2014

AMS Subject Classification: 03E72, 46S50, 06F05

Key Words and Phrases: fuzzy sets, fuzzy partitions, monoid

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DOI: 10.12732/ijpam.v98i1.10 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 98
Issue: 1
Pages: 123 -


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