N-Reciprocity Property for Interval-Valued Fuzzy Relations with an Application to Group Decision Making Problems in Social Networks
| Autor: | Humberto Bustince, Aranzazu Jurio, Krzysztof Balicki, Javier Fernández, Urszula Bentkowska, Barbara Pȩkala |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
0209 industrial biotechnology
Transitive relation Property (philosophy) 02 engineering and technology Fuzzy logic Interval valued Group decision-making 020901 industrial engineering & automation Artificial Intelligence Control and Systems Engineering Reciprocity (network science) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Preference (economics) Mathematical economics Software Information Systems Mathematics |
| Zdroj: | International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. 25:43-72 |
| ISSN: | 1793-6411 0218-4885 |
| DOI: | 10.1142/s0218488517400037 |
| Popis: | In this paper we study interval-valued fuzzy relations. We consider preference relations, i.e. a triplet consisting of strict preference, indifference and incomparability which are defined with the use of a fuzzy negation. We analyze the preservation of the fuzzy negation based reciprocity property of interval-valued fuzzy relations by aggregation functions and by some basic interval-valued fuzzy relations. We use diverse representa-tions of aggregation functions. We also consider the connection between N-reciprocal relations and transitivity properties. We provide a numerical example where the final alternative is chosen with the use of generalized voting method, where admissible linear orders for intervals are applied. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|