Two families of fuzzy integrals
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: the foundations of application—from a mathematical point of view
Fuzzy sets and fuzzy logic: the foundations of application—from a mathematical point of view
On almost distributive Łukasiewicz triplets
Fuzzy Sets and Systems
Modifications of Bellman-Giertz's theorem
Fuzzy Sets and Systems
On some solutions of the distributivity equation
Fuzzy Sets and Systems - Special issue on triangular norms
The distributivity condition for uninorms and t-operators
Fuzzy Sets and Systems
The modularity condition for uninorms and t-operators
Fuzzy Sets and Systems
Distributivity of residual implications over conjunctive and disjunctive uninorms
Fuzzy Sets and Systems
Distributivity between uninorms and nullnorms
Fuzzy Sets and Systems
Fuzzy Implications
The dominance relation in some families of continuous Archimedean t-norms and copulas
Fuzzy Sets and Systems
Aggregation Operators and Commuting
IEEE Transactions on Fuzzy Systems
Distributivity inequalities of monotonic operations
Fuzzy Sets and Systems
Restricted distributivity for aggregation operators with absorbing element
Fuzzy Sets and Systems
Distributivity equations and Mayor's aggregation operators
Knowledge-Based Systems
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Recently, the property of distributivity of binary operations on [0,1] is of great interest both for practical as well as fundamental reasons. In this paper we summarize some facts connected with distributivity and non-distributivity of binary operations on [0,1]. Motivated by non-distributive logical connectives in fuzzy set theory we show some new results concerning the above property. A new direction of investigations mainly concerns the distributivity inequalities for triangular norms and conorms and their diverse generalizations. In particular, we look for examples of binary operations fulfilling the distributivity inequalities.