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Title: Notion of Fuzzy IC-Bags
Contributor(s): Chakrabarty, K (author)
Publication Date: 2004
Open Access: Yes
DOI: 10.1142/S0218488504002850
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Abstract: In the present paper, the author introduces the notion of fuzzy IC-bags and does some characterizations of them. The concepts of fuzzy base sets, base equivalent fuzzy IC-Bags, cardinally equispaced fuzzy IC-Bags, and cardinally equivalent fuzzy IC-Bags have been developed. The types of peak elements, and the concerned types of peak membership grades have been discussed. It is observed that the collection of any particular type of peak elements together with their membership grades actually form fuzzy bags. A set of operations on fuzzy IC-Bags have been defined and some propositions have been proved. We note that under the conditions of uncertainty, where the counts of objects are not fixed, then the interval counts can occur with different fuzzy membership grades for each particular object in the collection, and the framework for fuzzy IC-Bags provides us with the opportunity to justify and model the organized complexity as a part of the associated intolerance embedded in the subjective patterns.
Publication Type: Journal Article
Source of Publication: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (IJUFKS), 12(3), p. 327-345
Publisher: World Scientific Publishing Co Pte Ltd
Place of Publication: Singapore
ISSN: 0218-4885
Field of Research (FOR): 080605 Decision Support and Group Support Systems
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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Appears in Collections:Journal Article
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