Homomorphisms on the Monoid of Fuzzy Implications

Vemuri, N R and Jayaram, Balasubramaniam (2013) Homomorphisms on the Monoid of Fuzzy Implications. In: 5th International Conference on Pattern Recognition and Machine Intelligence, PReMI 2013, 10-14 December 2013 , Kolkata; India.

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Abstract

In [4], we had proposed a novel generating methods of fuzzy implications and investigated algebraic structures on the set of all fuzzy implications, which is denoted by II. Again in [5], we had defined a particular function gK on the monoid (II, *) (See Def. 16) and characterised the function K for which gK is a semigroup homomorphism (s.g.h) in two special cases, i.e., K is with trivial range and K (1, y ) = y for all y ∈ [0, 1](neutrality property). In this work we characterise the nontrivial range non neutral implications K such that gK is an s.g.h. and also present their representations

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IITH Creators:
IITH CreatorsORCiD
Jayaram, Balasubramaniamhttp://orcid.org/0000-0001-7370-3821
Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Fuzzy implication; Homomorphism; Neutrality property
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 21 Nov 2014 04:36
Last Modified: 20 Sep 2017 08:52
URI: http://raiith.iith.ac.in/id/eprint/894
Publisher URL: https://doi.org/10.1007/978-3-642-45062-4_78
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