Stabilizers in EQ-algebras
Abstract The main goal of this paper is to introduce the notion of stabilizers in EQ-algebras and develop stabilizer theory in EQ-algebras. In the paper, we introduce (fuzzy) left and right stabilizers and investigate some related properties of them. Then, we discuss the relations among (fuzzy) stabilizers, (fuzzy) prefilters (filters) and (fuzzy) co-annihilators. Also, we obtain that the set of all prefilters in a good EQ-algebra forms a relative pseudo-complemented lattice, where Str(F, G) is the relative pseudo-complemented of F with respect to G. These results will provide a solid algebraic foundation for the consequence connectives in higher fuzzy logic.
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2018 ◽
Vol 15
(1)
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pp. 172988141875576
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1986 ◽
Vol 44
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pp. 298-299
1992 ◽
Vol 50
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pp. 1314-1315
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1990 ◽
Vol 48
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pp. 332-333
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1990 ◽
Vol 48
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pp. 898-899
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