Cardinality of Fuzzy Sets and Accumulation of Small Membership

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F24%3A73627177" target="_blank" >RIV/61989592:15310/24:73627177 - isvavai.cz</a>
Result on the web
<a href="https://obd.upol.cz/id_publ/333207064" target="_blank" >https://obd.upol.cz/id_publ/333207064</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TFUZZ.2024.3383279" target="_blank" >10.1109/TFUZZ.2024.3383279</a>

Result language
angličtina
Original language name
Cardinality of Fuzzy Sets and Accumulation of Small Membership
Original language description
We describe an intuitive and practically significant empirical phenomenon that relates to the concept of cardinality of a fuzzy set, namely, an excessive accumulation of small degrees of membership. We argue and demonstrate by examples that the present notions of cardinality do not take this phenomenon into account properly and may thus prove insufficient in applications. We propose a new concept of cardinality, generalizing the well-known Zadeh's sigma count, demonstrate using both intuitive and technical examples that it alleviates the insufficiency of the existing ones, and provide a theoretical analysis of this concept. We also propose topics for future theoretical and empirical research.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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