On cardinalities of finite interval-valued hesitant fuzzy sets
| Autor: | Pedro Alonso, Pelayo Quirós, Vladimír Janiš, Susana Montes, Irene Díaz |
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| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Information Systems and Management Fuzzy classification Fuzzy measure theory Mathematics::General Mathematics 05 social sciences Fuzzy set 050301 education 02 engineering and technology Type-2 fuzzy sets and systems Defuzzification Computer Science Applications Theoretical Computer Science Artificial Intelligence Control and Systems Engineering 0202 electrical engineering electronic engineering information engineering Fuzzy number Fuzzy set operations 020201 artificial intelligence & image processing 0503 education Software Membership function Mathematics |
| Zdroj: | Information Sciences. :421-431 |
| ISSN: | 0020-0255 |
| DOI: | 10.1016/j.ins.2017.08.041 |
| Popis: | Certain extensions of the classical fuzzy sets have been studied in depth since they have a remarkable importance in many practical situations. We focus on finite interval-valued hesitant fuzzy sets, as they generalize the most usual sets (fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets), so the results obtained can be immediately adapted to these types of sets. In addition, their membership functions are much more manageable than type-2 fuzzy sets. In this work, the cardinality of finite interval-valued hesitant fuzzy sets is studied from an axiomatic point of view, together with several properties that this definition satisfies, which enable to relate it to the classical definitions of cardinality given by other authors for fuzzy sets. |
| Databáze: | OpenAIRE |
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