20.500.12556/DiRROS-23753 Nature set qualitative and quantitative representation of elements Classical sets are characterized by ‘well-defined’ objects or elements, but this property is relative and linguistic.Classical sets, like the set of natural numbers, are primarily used for counting and measuring quantitative data. However,the literature does not address the differences in the representation of cardinalities between infinite sets and their infinitesubsets. This study investigates the cardinalities of infinite sets and their finite versions (cut cardinalities) within thefiniteapproximation ofthe real number system. Traditional fuzzy sets measure only belongingness or membership values, thuscapturing qualitative data. In the second part, this study introduces nature sets, which describe both the quantitative andqualitative aspects of elements. Quality measurement is provided by various techniques. Several properties of nature setsare examined, and potential applications are highlighted. nature set qualitative property quantitative property cut cardinality narava množice kvalitativna lastnost kvantitativna lastnost kardinalnost reza true false true Universal Wiser Publisher Angleški jezik Slovenski jezik ©2025 Sovan Samanta, et al. Neznano 2025-10-01 03:57:49 2025-11-04 13:08:30 2025-11-05 03:39:50 0000-00-00 00:00:00 2025 0 0 Nasl. z nasl. zaslona; Opis vira z dne 30. 9. 2025; Soavtorji: Kousik Das, Vivek Kumar Dubey, Leo Mrsic, Antonios Kalampakas; str. 7041-7057 iss. 5 Vol. 6 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-09-10 51 2705-1056 10.37256/cm.6520257742 251177731 https://ojs.wiserpub.com/index.php/CM/article/view/7742/3559 1 12e8366a-9e6a-11f0-9bb7-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=35209 RAZ_Samanta_Sovan_2025.pdf RAZ_Samanta_Sovan_2025.pdf 1 958C11ED71D46BC6BA6A216C28ADD093 48e2c99adc00e785be4e6bbc9ad99ba526e3a59da12d8cbe265eb9b8b4b7e573 bb73b4eb-b976-11f0-9bb7-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=35644 Rudolfovo – Znanstveno in tehnološko središče Novo mesto 0 0 0