Rough fuzzy hyperideals in ternary semihypergroups

Authors:
Naveed Yaqoob;Muhammad Aslam;Kostaq Hila
Affiliations:
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan;Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan;Department of Mathematics and Computer Science, University of Gjirokastra, Gjirokastra, Albania
Venue:
Advances in Fuzzy Systems
Year:
2012

Citing 4
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Abstract

The relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems. This paper concerns a relationship between rough sets and ternary semihypergroups. We introduce the notion of rough hyperideals and rough bi-hyperideals in ternary semihypergroups. We also study fuzzy, rough, and rough fuzzy ternary subsemihypergroups (left hyperideals, right hyperideals, lateral hyperideals, hyperideals, and bi-hyperideals) of ternary semihypergroups.