Lattice on Fuzzy Implication

AUTHOR AND
AFFILIATION

R. GANAPATHYRAMAN
Assistant Professor Department of Mathematics Pachiyappa’s College, Chennai – 600 030 (India)

KEYWORDS:

Fuzzy logic connectives, Fuzzy implication, Algebras, Lattice.

Issue Date:

April 2015

Pages:

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.27 – No.1

PDF

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DOI:

jusps-A

ABSTRACT:

In this paper we present some Boolean algebras in the form of lattice by using the fuzzy implication. We show that these methods lead to various and much richer algebraic structures on the set of all fuzzy implications than obtained in the literature.

Copy the following to cite this Article:

R. GANAPATHYRAMAN, “Lattice on Fuzzy Implication”, Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 1, Page Number , 2016


Copy the following to cite this URL:

R. GANAPATHYRAMAN, “Lattice on Fuzzy Implication”, Journal of Ultra Scientist of Physical Sciences, Volume 27, Issue 1, Page Number , 2016

Available from: http://www.ultrascientist.org/paper/327/


In this paper we present some Boolean algebras in the form of lattice by using the fuzzy implication. We show that these methods lead to various and much richer algebraic structures on the set of all fuzzy implications than obtained in the literature.