{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:31:38Z","timestamp":1777703498149,"version":"3.51.4"},"reference-count":34,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2019,6,18]],"date-time":"2019-06-18T00:00:00Z","timestamp":1560816000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent & Fuzzy Systems"],"published-print":{"date-parts":[[2019,9,9]]},"abstract":"\n \u00a0A new category of similarity measures is investigated in this work, we first introduce the concept of effect matrix\n \n \n \n T<\/mml:mi>\n \u2227<\/mml:mo>\n <\/mml:mover>\n (<\/mml:mo>\n \n R<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n \u00d7<\/mml:mo>\n \n R<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n ,<\/mml:mo>\n \n p<\/mml:mi>\n n<\/mml:mi>\n <\/mml:msub>\n ,<\/mml:mo>\n \n q<\/mml:mi>\n m<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n of type 2-tuple and study some of their properties. Moreover, from the soft set we find the pictures of type regular and irregular using effect matrix\n \n \n \n T<\/mml:mi>\n \u2227<\/mml:mo>\n <\/mml:mover>\n (<\/mml:mo>\n \n R<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n \u00d7<\/mml:mo>\n \n R<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n ,<\/mml:mo>\n \n p<\/mml:mi>\n n<\/mml:mi>\n <\/mml:msub>\n ,<\/mml:mo>\n \n q<\/mml:mi>\n m<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n of type 2-tuple. An effect matrix\n \n \n \n T<\/mml:mi>\n \u2227<\/mml:mo>\n <\/mml:mover>\n (<\/mml:mo>\n \n R<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n \u00d7<\/mml:mo>\n \n R<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n ,<\/mml:mo>\n \n p<\/mml:mi>\n n<\/mml:mi>\n <\/mml:msub>\n ,<\/mml:mo>\n \n q<\/mml:mi>\n m<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n of type 2-tuple is better than effect matrix\n \n \n \n E<\/mml:mi>\n \u2227<\/mml:mo>\n <\/mml:mover>\n (<\/mml:mo>\n R<\/mml:mi>\n ,<\/mml:mo>\n \n p<\/mml:mi>\n n<\/mml:mi>\n <\/mml:msub>\n ,<\/mml:mo>\n \n q<\/mml:mi>\n m<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n of type 1-tuple, because we can deal with two different sets\n \n \n \n R<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:inline-formula>\n (a family of objectives) and\n \n \n \n R<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n <\/mml:math>\n <\/jats:inline-formula>\n (a family of parameters) in the same problem. This burden can be alleviated by application of type 2-tuple. Some applications of soft effect matrix of type 2-tuple\n \n \n \n T<\/mml:mi>\n \u2227<\/mml:mo>\n <\/mml:mover>\n (<\/mml:mo>\n \n R<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n \u00d7<\/mml:mo>\n \n R<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n ,<\/mml:mo>\n \n p<\/mml:mi>\n n<\/mml:mi>\n <\/mml:msub>\n ,<\/mml:mo>\n \n q<\/mml:mi>\n m<\/mml:mi>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n in decision making problems are studied and explained. In this work we deal with pictures. Moreover, the similarity measure between two different soft sets under the same universal soft set\n \n \n (<\/mml:mo>\n \n R<\/mml:mi>\n 1<\/mml:mn>\n <\/mml:msub>\n \u00d7<\/mml:mo>\n \n R<\/mml:mi>\n 2<\/mml:mn>\n <\/mml:msub>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n can be studied and explained its applications in medical diagnosis problems.\n <\/jats:p>","DOI":"10.3233\/jifs-179249","type":"journal-article","created":{"date-parts":[[2019,6,18]],"date-time":"2019-06-18T12:21:18Z","timestamp":1560860478000},"page":"1865-1877","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":36,"title":["Decision making using algebraic operations on soft effect matrix as new category of similarity measures and study their application in medical diagnosis problems"],"prefix":"10.1177","volume":"37","author":[{"given":"Shuker Mahmood","family":"Khalil","sequence":"first","affiliation":[{"name":"Department of 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