{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,15]],"date-time":"2025-11-15T04:01:25Z","timestamp":1763179285559,"version":"3.41.2"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2022,4]]},"abstract":"<jats:p> In this paper, we want to investigate some theorems about [Formula: see text]-cubic sets in [Sh. Rashid, M. Gulistan, Y. B. Jun, S. Khan and S. Kadry, [Formula: see text]-cubic sets and aggregation operators, J. Intell. Fuzzy Syst. 37(4) (2019) 5009\u20135023] and while correcting these theorems, we get new results in this issue and at the end we present an application regarding decision making. First, by using some examples, we show that the conditions of some theorems in above-mentioned paper are not true in general and then we attempt to correct these theorems and proofs. Moreover, we discuss some new related results in [Formula: see text]-cubic sets. Finally, we discuss the score function and [Formula: see text]-cubic weighted average operator of [Formula: see text]-cubic sets for application in physical and different engineering regions. <\/jats:p>","DOI":"10.1142\/s1793830921501226","type":"journal-article","created":{"date-parts":[[2021,5,5]],"date-time":"2021-05-05T15:26:43Z","timestamp":1620228403000},"source":"Crossref","is-referenced-by-count":3,"title":["Comments to \ud835\udca9-cubic sets with an NC-decision making problem"],"prefix":"10.1142","volume":"14","author":[{"given":"F.","family":"Karazma","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran"}]},{"given":"M. Aaly","family":"Kologani","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7538-7885","authenticated-orcid":false,"given":"R. A.","family":"Borzooei","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran"}]},{"given":"Y. B.","family":"Jun","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea"}]}],"member":"219","published-online":{"date-parts":[[2021,5,4]]},"reference":[{"key":"S1793830921501226BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"S1793830921501226BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(89)90205-4"},{"key":"S1793830921501226BIB003","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-161640"},{"key":"S1793830921501226BIB004","doi-asserted-by":"publisher","DOI":"10.3390\/math8060907"},{"key":"S1793830921501226BIB005","doi-asserted-by":"publisher","DOI":"10.2991\/ijcis.d.200730.002"},{"key":"S1793830921501226BIB006","doi-asserted-by":"publisher","DOI":"10.1142\/S179300572050009X"},{"key":"S1793830921501226BIB007","first-page":"793074","author":"Chauhan A.","year":"2014","journal-title":"J. Comput. Eng."},{"key":"S1793830921501226BIB008","doi-asserted-by":"publisher","DOI":"10.4134\/CKMS.2010.25.2.173"},{"key":"S1793830921501226BIB009","first-page":"239","volume":"44","author":"Jun Y. B.","year":"2010","journal-title":"Far East J. Math. Sci."},{"key":"S1793830921501226BIB010","first-page":"83","volume":"4","author":"Jun Y. B.","year":"2012","journal-title":"Ann. Fuzzy Math. Inform."},{"key":"S1793830921501226BIB011","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-182595"},{"issue":"2","key":"S1793830921501226BIB012","first-page":"63","volume":"7","author":"Rezaei G. R.","year":"2020","journal-title":"Alg. Struct. Appl."},{"key":"S1793830921501226BIB013","first-page":"31","volume":"09","author":"Williams P.","year":"2013","journal-title":"J. Uncertain Syst."},{"key":"S1793830921501226BIB014","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2006.890678"},{"key":"S1793830921501226BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"S1793830921501226BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/0020-0255(75)90036-5"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830921501226","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,4,12]],"date-time":"2022-04-12T09:44:45Z","timestamp":1649756685000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830921501226"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,4]]},"references-count":16,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2022,4]]}},"alternative-id":["10.1142\/S1793830921501226"],"URL":"https:\/\/doi.org\/10.1142\/s1793830921501226","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"type":"print","value":"1793-8309"},{"type":"electronic","value":"1793-8317"}],"subject":[],"published":{"date-parts":[[2021,5,4]]},"article-number":"2150122"}}