Generation of linear orders for intervals by means of aggregation functions

0391392 - ÚTIA 2014 RIV NL eng J - Článek v odborném periodiku
Bustince, H. - Fernandez, J. - Kolesárová, A. - Mesiar, Radko
Generation of linear orders for intervals by means of aggregation functions.
Fuzzy Sets and Systems. Roč. 220, č. 1 (2013), s. 69-77. ISSN 0165-0114. E-ISSN 1872-6801
Grant CEP: GA ČR GAP402/11/0378
Institucionální podpora: RVO:67985556
Klíčová slova: Interval-valued fuzzy set * linear order * aggregation function
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.880, rok: 2013
http://library.utia.cas.cz/separaty/2013/E/mesiar-generation of linear orders for intervals by means of aggregation functions.pdf

The problem of choosing an appropriate total order is crucial for many applications that make use of extensions of fuzzy sets. In this work we introduce the concept of an admissible order as a total order that extends the usual partial order between intervals.We propose a method to build these admissible orders in terms of two aggregation functions and we prove that some of the most used examples of total orders that appear in the literature are specific cases of our construction.
Trvalý link: http://hdl.handle.net/11104/0220521