scholarly journals Generalized entropy in expanded semigroups and in algebras with neutral element

2014 ◽  
Vol 88 (3) ◽  
pp. 702-714 ◽  
Author(s):  
Erkko Lehtonen ◽  
Agata Pilitowska
Author(s):  
BERNARD DE BAETS ◽  
JÁNOS FODOR ◽  
DANIEL RUIZ-AGUILERA ◽  
JOAN TORRENS

In this paper we characterize all idempotent uninorms defined on a finite ordinal scale. It is proved that any such discrete idempotent uninorm is uniquely determined by a decreasing function from the set of scale elements not greater than the neutral element to the set of scale elements not smaller than the neutral element, and vice versa. Based on this one-to-one correspondence, the total number of discrete idempotent uninorms on a finite ordinal scale of n + 1 elements is equal to 2n.


2009 ◽  
Vol 373 (36) ◽  
pp. 3230-3234 ◽  
Author(s):  
G. Baris Bagci ◽  
Ugur Tirnakli

Entropy ◽  
2018 ◽  
Vol 20 (4) ◽  
pp. 249 ◽  
Author(s):  
Krzysztof Gajowniczek ◽  
Arkadiusz Orłowski ◽  
Tomasz Ząbkowski

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