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001-es BibID:	BIBFORM120125
035-os BibID:	(Cikkazonosító)109182
Első szerző:	Mihálydeák Tamás Sándor (filozófus, matematikus)
Cím:	Intensions and extensions of granules: A two-component treatment / Tamás Mihálydeák, Tamás Kádek, Dávid Nagy, Mihir K. Chakraborty
Dátum:	2024
ISSN:	0888-613X
Megjegyzések:	The concept of a granule (of knowledge) originated from Zadeh, where granules appeared as references to words (phrases) of a natural (or an artificial) language. According to Zadeh's program, "a granule is a collection of objects drawn together by similarity or functionality and considered therefore as a whole". Pawlak's original theory of rough sets and its different generalizations have a common property: all systems rely on a given background knowledge represented by the system of base sets. Since the members of a base set have to be treated similarly, base sets can be considered as granules. The background knowledge has a conceptual structure, and it contains information that does not appear on the level of base granules, so such information cannot be taken into consideration in approximations. A new problem arises: is there any possibility of constructing a system modeling the background knowledge better? A two-component treatment can be a solution to this problem. After giving the formal language of granules involving the tools for approximations, a logical calculus containing approximation operators is introduced. Then, a two-component semantics (treating intensions and extensions of granule expressions) is defined. The authors show the connection between the logical calculus and the two-component semantics.
Tárgyszavak:	Műszaki tudományok Informatikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban folyóiratcikk Granular computing Rough set theory Intensions of granules Extensions of granules
Megjelenés:	International Journal Of Approximate Reasoning. - 169 (2024), p. 1-15. -
További szerzők:	Kádek Tamás (1983-) (programtervező matematikus) Nagy Dávid (1990-) (programtervező informatikus) Chakraborty, Mihir K.
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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