Article ID Journal Published Year Pages File Type
389609 Fuzzy Sets and Systems 2016 13 Pages PDF
Abstract

In this paper, we firstly discuss the deresidual operations of left (right) semi-uninorms and show which properties they satisfy. Then, we investigate the left and right semi-uninorms induced by a coimplication and give some conditions such that the operations induced by a coimplication constitute left or right semi-uninorms. Finally, we demonstrate that the meet-semilattice of all disjunctive right (left) ∧-distributive left (right) semi-uninorms is order-reversing isomorphic to the join-semilattice of all right ∨-distributive coimplications, which satisfy the neutrality principle.

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Physical Sciences and Engineering Computer Science Artificial Intelligence
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