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Generation of linear orders for intervals by means of aggregation functions
- 1.0391392 - ÚTIA 2014 RIV NL eng J - Journal Article
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
R&D Projects: GA ČR GAP402/11/0378
Institutional support: RVO:67985556
Keywords : Interval-valued fuzzy set * linear order * aggregation function
Subject RIV: BA - General Mathematics
Impact factor: 1.880, year: 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.
Permanent Link: http://hdl.handle.net/11104/0220521
Number of the records: 1