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Multi-argument fuzzy measures on lattices of fuzzy sets
Citation
Castiñeira Holgado, Elena and Calvo Sánchez, Tomasa and Cubillo Villanueva, Susana (2013). Multi-argument fuzzy measures on lattices of fuzzy sets. "Knowledge-based systems", v. 53 (n. null); pp. 27-39. ISSN 0950-7051. https://doi.org/10.1016/j.knosys.2013.07.019.
Description
| Title: | Multi-argument fuzzy measures on lattices of fuzzy sets |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Knowledge-based systems |
| Date: | 2013 |
| ISSN: | 0950-7051 |
| Volume: | 53 |
| Subjects: | |
| Freetext Keywords: | Lattice; Aggregation function; t-Norm; t-Conorm; Negation; Fuzzy measure; Incompatibility multi-measure; Compatibility multi-measure; Supplementarity multi-measure; Unsupplementarity multi-measure |
| Faculty: | Facultad de Informática (UPM) |
| Department: | Matemática Aplicada |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
In this paper, we axiomatically introduce fuzzy multi-measures on bounded lattices. In particular, we make a distinction between four different types of fuzzy set multi-measures on a universe X, considering both the usual or inverse real number ordering of this lattice and increasing or decreasing monotonicity with respect to the number of arguments. We provide results from which we can derive families of measures that hold for the applicable conditions in each case.
More information
| Item ID: | 34882 |
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| DC Identifier: | https://oa.upm.es/34882/ |
| OAI Identifier: | oai:oa.upm.es:34882 |
| DOI: | 10.1016/j.knosys.2013.07.019 |
| Official URL: | http://www.sciencedirect.com/science/article |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 17 Apr 2015 07:51 |
| Last Modified: | 17 Nov 2017 09:12 |
