On the Cardinality and Power Set of Fuzzy Sets and Multiple Sets
Document Type
Article
Publication Title
Advances in Fuzzy Systems
Abstract
A multiple set is a generalized version of a fuzzy set that deals with the uncertainty of an object along with its multiplicity. This work is a comparative analysis of the fundamental conclusions based on the cardinality of the classical set and fuzzy set. Several classical results based on fuzzy cardinality are then generalized to multiple set theory. An introduction to the concept of the power set of a multiple set is made, along with some basic results that support it. Furthermore, an extensive analysis of the power set properties of the fuzzy set is also carried out.
DOI
10.1155/2024/8465775
Publication Date
1-1-2024
Recommended Citation
Sanjitha, R.; Baiju, T.; and Pai, Sandhya S., "On the Cardinality and Power Set of Fuzzy Sets and Multiple Sets" (2024). Open Access archive. 10810.
https://impressions.manipal.edu/open-access-archive/10810
