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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.<\/jats:p>","DOI":"10.1155\/2024\/8465775","type":"journal-article","created":{"date-parts":[[2024,7,22]],"date-time":"2024-07-22T09:23:27Z","timestamp":1721640207000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the Cardinality and Power Set of Fuzzy Sets and Multiple Sets"],"prefix":"10.1155","volume":"2024","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-5367-0858","authenticated-orcid":false,"given":"Sanjitha","family":"R.","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5558-1581","authenticated-orcid":false,"given":"Baiju","family":"T.","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5410-2211","authenticated-orcid":false,"given":"Sandhya","family":"S. 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