CHARACTERIZATION OF SEMIGROUP BY ROUGH INTERVAL PYTHAGOREAN FUZZY SET

CHARACTERIZATION OF SEMIGROUP BY ROUGH INTERVAL PYTHAGOREAN FUZZY SET

V. S. Subha, V. Chinnadurai, P. Dhanalakshmi

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Abstract

This paper expose a study on rough interval valued pythagorean fuzzy sets in semigroups. We characterize rough interval valued pythagorean fuzzy sets by an exam- ple. Characterize composition of two interval valued pythagorean fuzzy sets. Introduce rough interval valued pythagorean fuzzy left(right, bi-, interior-,(1,2)-)ideals in semi- groups. Moreover we prove an interval valued pythagorean fuzzy set is an upper rough interval valued pythagorean fuzzy left(right) ideal of semigroup also we give an example for converse of this is not true. Lower and upper approximation of an interval valued pythagorean fuzzy ideal of semigroup is an interval valued pythagorean fuzzy ideal of semigroup.

Keywords

Pythogrean fuzzy set, Interval valued pythagorean fuzzy set, Rough set, Rough fuzzy set, Rough interval valued fuzzy set, Rough Pythagorean fuzzy ideals, Rough interval valued pythagorean fuzzy ideals in semigroups.