The conditional distributivity, that is distributivity equation with additional restriction imposed on the domain of aggregation operations, an issue interest for many different theoretical and practical areas, special integration theory utility theory. This paper presents new results this specific form semi-t-operators over conjunctive uninorms. Since observed class uninorms rather wide includ...

A characterization of all pairs (U,S) where is U left-continuous uninorms with neutral element e from (0,1] and S countinuous t-conorms satisfying distributivity of U over S ( socalled conditional distributivity) is given.

Sentences with multiple occurrences of plural definites give rise to certain effects suggesting that distributivity should be modeled by polyadic operations. Yet, in this paper it is argued that the simpler treatment of distributivity using unary universal quantification should be retained. Seemingly polyadic effects are claimed to be restricted to definite NPs. This fact is accounted for by th...

This paper explores the phenomenon of distributivity manifest in ellipsis in Chinese. It will be proposed that in addition to standard syntactical distributivity projection a distributive reading also results from a focus projection that involves anaphoric relations from context. A distributive reading will occur if an elided string is anaphorically associated with a previous discourse that sha...

In this paper, we present some relations between generalized distributivity of quotient algebras and Mahlo operations, and show that the distributivity implies some variants of stationary relections. The notion of generalized distributivity appeared in [3] for the first time. In that paper, we began investigating the relations between the notion and other fundamental principles in set theory, e...