Counting the number of classes in a fuzzy set
- 1 January 1993
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Systems, Man, and Cybernetics
- Vol. 23 (1) , 257-264
- https://doi.org/10.1109/21.214785
Abstract
The issue of counting the number of elements in fuzzy set is discussed. The issue of counting the number of equivalence classes in a fuzzy subset is investigated. The more general problem of counting how many similarity classes are present in a fuzzy subset is then examined. This becomes a very complex problem because of the lack of distinct boundaries in the similarity classes.Keywords
This publication has 14 references indexed in Scilit:
- PRUF—a meaning representation language for natural languagesPublished by Elsevier ,2008
- Outline of a computational approach to meaning and knowledge representation based on the concept of a generalized assignment statementPublished by Springer Nature ,2005
- On ordered weighted averaging aggregation operators in multicriteria decisionmakingIEEE Transactions on Systems, Man, and Cybernetics, 1988
- Explanatory models in expert systemsInternational Journal of Man-Machine Studies, 1985
- Fuzzy cardinality and the modeling of imprecise quantificationFuzzy Sets and Systems, 1985
- Diagnostic expert systems based on a set covering modelInternational Journal of Man-Machine Studies, 1983
- Quantified propositions in a linguistic logicInternational Journal of Man-Machine Studies, 1983
- A CLASS OF FUZZY MEASURES BASED ON TRIANGULAR NORMS A general framework for the combination of uncertain informationInternational Journal of General Systems, 1982
- Fuzzy sets as a basis for a theory of possibilityFuzzy Sets and Systems, 1978
- Upper and Lower Probabilities Induced by a Multivalued MappingThe Annals of Mathematical Statistics, 1967