The distributivity condition for uninorms and t-operators
In this work we study the functional equation given by the distributivity condition:[Formula:
see text] where the unknown functions F, G are uninorms and/or t-operators. We …
see text] where the unknown functions F, G are uninorms and/or t-operators. We …
Distributivity and conditional distributivity of a uninorm and a continuous t-conorm
The open problem recalled by Klement in the Linz2000 closing session, related to
distributivity and conditional distributivity of a uninorm and a continuous t-conorm, is solved …
distributivity and conditional distributivity of a uninorm and a continuous t-conorm, is solved …
Uncertainty data in interval-valued fuzzy set theory
B Pękala - Properties, Algorithms and Applications, Studies in …, 2019 - Springer
The series “Studies in Fuzziness and Soft Computing” contains publications on various
topics in the area of soft computing, which include fuzzy sets, rough sets, neural networks …
topics in the area of soft computing, which include fuzzy sets, rough sets, neural networks …
Distributivity between uninorms and nullnorms
Recently the distributivity equation was investigated in families of certain operations (eg
triangular norms, conorms, uninorms and nullnorms). Generally, the assumption of …
triangular norms, conorms, uninorms and nullnorms). Generally, the assumption of …
Distributivity between semi-t-operators and semi-nullnorms
P Drygaś - Fuzzy Sets and Systems, 2015 - Elsevier
Recently the distributivity equation was discussed in families of certain operations (eg
triangular norms, conorms, uninorms and nullnorms). In this paper we describe the solutions …
triangular norms, conorms, uninorms and nullnorms). In this paper we describe the solutions …
Distributivity and conditional distributivity of a uninorm with continuous underlying operators over a continuous t-conorm
G Li, HW Liu - Fuzzy Sets and Systems, 2016 - Elsevier
This paper deals with the distributivity and conditional distributivity of uninorms with
continuous underlying operators over continuous triangular conorms. In particular, the …
continuous underlying operators over continuous triangular conorms. In particular, the …
Distributivity equation in the class of 2-uninorms
This paper is mainly devoted to solving the functional equation of distributivity between
aggregation operators with 2-neutral element. Our investigations are motivated by the …
aggregation operators with 2-neutral element. Our investigations are motivated by the …
The distributive equations for idempotent uninorms and nullnorms
Q Feng, Z Bin - Fuzzy Sets and Systems, 2005 - Elsevier
The distributive equations only involving idempotent uninorms and nullnorms are
investigated. The following two cases are proved:(i) As for a nullnorm with an idempotent …
investigated. The following two cases are proved:(i) As for a nullnorm with an idempotent …
On the distributive laws of fuzzy implication functions over additively generated overlap and grouping functions
J Qiao, BQ Hu - IEEE Transactions on Fuzzy Systems, 2017 - ieeexplore.ieee.org
Overlap and grouping functions have been proposed by Bustince et al. for applications in
image processing, classification problems, and decision making based on fuzzy preference …
image processing, classification problems, and decision making based on fuzzy preference …
On distributive laws of uninorms over overlap and grouping functions
J Qiao - IEEE Transactions on Fuzzy Systems, 2019 - ieeexplore.ieee.org
Overlap and grouping functions, as two new classes of special binary aggregation functions,
have been investigated by several authors for applications in image processing, decision …
have been investigated by several authors for applications in image processing, decision …