In analogy with the study of representations of GL2n(F ) distinguished by Sp 2n(F ), where F is a local field, in this paper we study representations of U2n(F ) distinguished by Sp2n(F ). (Only quasi-split unitary groups are considered in this paper since they are the only ones which contain Sp 2n(F ).) We prove that there are no cuspidal representations of U2n(F ) distinguished by Sp2n(F ) for...

In this paper we study subsystems, reverse subsystems and double subsystems of a fuzzy transition system. We characterize them in terms of fuzzy relation inequalities and equations, as eigen fuzzy sets of the fuzzy quasi-order Qδ and the fuzzy equivalence Eδ generated by fuzzy transition relations, and as linear combinations of aftersets and foresets of Qδ and equivalence classes of Eδ. We also...

In this paper we prove strong completeness of axiomatic extensions of first-order strict core fuzzy logics with the so-called quasi-witnessed axioms with respect to quasi-witnessed models. As a consequence we obtain strong completeness of Product Predicate Logic with respect to quasi-witnessed models, already proven by M.C. Laskowski and S. Malekpour in [19]. Finally we study similar problems f...

small polygroups are multi-valued systems that satisfy group-likeaxioms. using the notion of “belonging ($epsilon$)” and “quasi-coincidence (q)” offuzzy points with fuzzy sets, the concept of ($epsilon$, $epsilon$ $vee$ q)-fuzzy subpolygroups isintroduced. the study of ($epsilon$, $epsilon$ $vee$ q)-fuzzy normal subpolygroups of a polygroupare dealt with. characterization and some of the fundam...

In this paper, we propose a new definition of intuitionistic fuzzyquasi-metric and pseudo-metric spaces based on intuitionistic fuzzy points. Weprove some properties of intuitionistic fuzzy quasi- metric and pseudo-metricspaces, and show that every intuitionistic fuzzy pseudo-metric space is intuitionisticfuzzy regular and intuitionistic fuzzy completely normal and henceintuitionistic fuzzy nor...

In this paper, by using the notions of ”not belonging” (∈) and ”non quasi-k-coincidence” (qk) of a fuzzy point with a fuzzy set, we define the notion of (∈,∈ ∨ qk)-fuzzy subgroups of a group which is a generalization of fuzzy subgroups and (∈,∈ ∨ q)-fuzzy subgroups. Aslo, we generalized the concept of ∈-level set, (∈ ∨ q)-level set and (∈,∈ ∨ q)level set by using ”not belonging” (∈) and ”non qu...