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The present paper deals with a new quotient structure of BCK/BCI-algebras using int-soft ideals. The fundamental homomorphism theorem of quotient BCK/BCI-algebras is established. Characterizations of commutative (implicative, positive implicative) quotient BCK/BCI-algebras are discussed.
Based on the Buşneag’s model [1,2,3], the notion of pseudo-valuations (valuations) on a pre-logic is introduced, and a pseudo-metric is induced by a pseudo-valuation on pre-logics. Related properties are investigated, and conditions for a real-valued function on a pre-logic to be a pseudo-valuation are discussed. Using the notion of (pseudo) valuation, we show that the binary operation ∗ in pre-logics...
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