{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T07:44:06Z","timestamp":1758267846517},"reference-count":22,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2020,8]]},"abstract":"<jats:p> This paper discusses the resolution of max-Archimedean bipolar fuzzy relation equations. In the literature, many methods have been proposed based on 0-1 integer programming problem or reduction methods for the optimization with bipolar fuzzy relation equations. A new concept based on the idea of covering and the notions of leading, non-leading variables are introduced in the present paper for finding the solutions of max-Archimedean bipolar fuzzy relation equations. It is shown that the problem of finding the complete solution set of the system of max-Archimedean bipolar fuzzy relation equations is equivalent to solving a covering problem and the solutions of such equations correspond to irredundant coverings of the covering problem. The proposed method is illustrated with some examples. <\/jats:p>","DOI":"10.1142\/s0218488520500269","type":"journal-article","created":{"date-parts":[[2020,7,10]],"date-time":"2020-07-10T11:19:57Z","timestamp":1594379997000},"page":"613-634","source":"Crossref","is-referenced-by-count":3,"title":["Covering Problem for Solutions of Max-Archimedean Bipolar Fuzzy Relation Equations"],"prefix":"10.1142","volume":"28","author":[{"given":"Vijay Lakshmi","family":"Tiwari","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Dayalbagh Educational Institute, Dayalbagh, Agra-282005, U.P., India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antika","family":"Thapar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Dayalbagh Educational Institute, Dayalbagh, Agra-282005, U.P., India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,8,24]]},"reference":[{"key":"p_1","first-page":"531","volume":"52","author":"Aliannezhadi S.","year":"2016","journal-title":"Kybernetika"},{"key":"p_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-151820"},{"key":"p_3","first-page":"1","volume":"9","author":"Cornejo M. 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