Journal
FUZZY SETS AND SYSTEMS
Volume 220, Issue -, Pages 69-77Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2012.07.015
Keywords
Interval-valued fuzzy set; A-IFS Atanassov's intuitionistic fuzzy set; Linear order; Aggregation function
Funding
- Spanish Ministry of Science [TIN2010-15055]
- [APVV-0073-10]
- [GACR P-402/11/0378]
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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. (C) 2012 Elsevier B.V. All rights reserved.
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