{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T22:45:24Z","timestamp":1776811524727,"version":"3.51.2"},"reference-count":22,"publisher":"European Society of Computational Methods in Sciences and Engineering","issue":"5","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JCM"],"published-print":{"date-parts":[[2022,9,5]]},"abstract":"<jats:p>Based on inverse packet sets and fuzzy set, the concept of inverse packet fuzzy sets is proposed in this paper by means of introducing dynamic characteristics into a fuzzy set A and improving the fuzzy set A. The inverse packet fuzzy sets is composed of a pair of fuzzy sets generated by the fuzzy set A and has dynamic characteristic and fuzzy characteristic. Furthermore, on certain conditions, it can be restored to the fuzzy set A or the inverse packet sets generated by the Cantor set X=ker\u2061(A). As a result, an inverse packet fuzzy sets can be expressed as a series of inverse packet sets by defining its scalar multiplication and its cut sets. Meanwhile some attribute-dependent characteristics of inverse packet fuzzy sets are obtained. The new set model will both enrich the set theory and provide a new basic tool for further practical applications.<\/jats:p>","DOI":"10.3233\/jcm-226188","type":"journal-article","created":{"date-parts":[[2022,6,7]],"date-time":"2022-06-07T12:39:02Z","timestamp":1654605542000},"page":"1493-1502","source":"Crossref","is-referenced-by-count":0,"title":["Inverse packet fuzzy sets and its characteristics"],"prefix":"10.66113","volume":"22","author":[{"given":"Xiuqing","family":"Yu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanfeng","family":"Shen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiuping","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"55691","reference":[{"key":"10.3233\/JCM-226188_ref1","first-page":"338","article-title":"Fuzzy sets","author":"Zaden","year":"1965","journal-title":"Inf. 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