L-Fuzzy Sub-Effect Algebras

(L, M)-Fuzzy σ-Algebras

-fuzzy Sub- Commutative Ideals in Bci-algebras

The concept of fuzzy set, which was published by Zadeh in his classic paper [24] of 1965, was applied by many researchers to generalize some of the basic concepts of algebra. The fuzzy algebraic structures play a central role in mathematics with wide applications in many other branches such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, topo...

L-Fuzzy β−Subalgebras of β−Algebras

In this paper, we introduce the notion of L-fuzzy β−subalgebras on β−algebras and investigate some of their properties. Mathematics Subject Classification: 03E72, 06F35, 03G25

Fuzzy universal algebras on $L$-sets

This paper attempts to generalize universal algebras on classical sets to $L$-sets when $L$ is a GL-quantale. Some basic notions of fuzzy universal algebra on an $L$-set are introduced, such as subalgebra, quotient algebra, homomorphism, congruence, and direct product etc. The properties of them are studied. $L$-valued power algebra is also introduced and it is shown there is an onto homomorphi...

Fuzzy extension of interval-based temporal sub-algebras

In a previous paper, we have proposed a fuzzy extension of Allen’s Interval Algebra, called IA, which is able to model soft temporal constraints and uncertainty in a unified way. In this paper, we address the problem of finding tractable subalgebras of IA, as it has been done in the classical case. In particular, we show that the fuzzy extensions of classical SAc and SA subalgebras are tractabl...