Homomorphism and cartesian product of fuzzy PS–algebras

T. Mohana Priya; T. Ramachandran

doi:10.12988/ams.2014.44265

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Homomorphism and cartesian product of fuzzy PS–algebras

T. Mohana Priya T. Ramachandran

Year: 2014 Journal: Applied Mathematical Sciences Vol: 8 Pages: 3321-3330

DOI: 10.12988/ams.2014.44265

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Abstract

In this paper, we introduce the concept of fuzzy PS-ideal of PS-algebra under homomorphism and some of its properties. We proved that  is a fuzzy PS-ideal(PSsubalgebra) of a PS-algebra X iff  is a fuzzy PS-ideal(PS-subalgebra) of X x X, where  is the strongest fuzzy  relation. Mathematics Subject Classification: 20N25, 03E72, 03F055 , 06F35, 03G25

Keywords:

Homomorphism Cartesian product Fuzzy logic Mathematics Pure mathematics Product (mathematics) Algebra over a field Algebra homomorphism Cartesian coordinate system Computer science Discrete mathematics Artificial intelligence Geometry

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Fuzzy and Soft Set Theory

Social Sciences → Decision Sciences → Management Science and Operations Research

Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Fuzzy Logic and Control Systems

Physical Sciences → Computer Science → Artificial Intelligence

Homomorphism and cartesian product of fuzzy PS–algebras

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