{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,11,27]],"date-time":"2024-11-27T05:29:19Z","timestamp":1732685359205,"version":"3.28.2"},"reference-count":26,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2023,1,5]]},"abstract":"This article has been retracted. A retraction notice can be found at https:\/\/doi.org\/10.3233\/JIFS-219433.<\/jats:p>","DOI":"10.3233\/jifs-212098","type":"journal-article","created":{"date-parts":[[2022,9,9]],"date-time":"2022-09-09T17:56:39Z","timestamp":1662746199000},"page":"729-743","source":"Crossref","is-referenced-by-count":3,"title":["RETRACTED: Belief and plausibility measures on pythagorean fuzzy sets and its applications with BPI-VIKOR"],"prefix":"10.1177","volume":"44","author":[{"given":"Zahid","family":"Hussain","sequence":"first","affiliation":[{"name":"Department of Mathematical Science, Karakoram International University, Gilgit-Baltistan, Pakistan"}]},{"given":"Sahar","family":"Abbas","sequence":"additional","affiliation":[{"name":"Institute of Business Administration (IBA) Karachi, Sindh, Pakistan"}]},{"given":"Shams ur","family":"Rahman","sequence":"additional","affiliation":[{"name":"Department of Mathematical Science, Karakoram International University, Gilgit-Baltistan, Pakistan"}]},{"given":"Rashid","family":"Hussain","sequence":"additional","affiliation":[{"name":"Department of Mathematical Science, Karakoram International University, Gilgit-Baltistan, Pakistan"}]},{"given":"Razia","family":"Sharif","sequence":"additional","affiliation":[{"name":"Department of Mathematical Science, Karakoram International University, Gilgit-Baltistan, Pakistan"}]}],"member":"179","reference":[{"issue":"3","key":"10.3233\/JIFS-212098_ref1","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1002\/int.20135","article-title":"Dempster\u2013Shafer models for object recognition and classification","volume":"21","author":"Dempster","year":"2006","journal-title":"International Journal of Intelligent Systems"},{"issue":"4","key":"10.3233\/JIFS-212098_ref3","doi-asserted-by":"crossref","first-page":"3923","DOI":"10.3233\/JIFS-181123","article-title":"Intuitionistic fuzzy graphs of nth type with applications","volume":"36","author":"Davvaz","year":"2019","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"issue":"3","key":"10.3233\/JIFS-212098_ref4","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1109\/91.771083","article-title":"Generalization of the Dempster-Shafer theory: a fuzzy-valued measure","volume":"7","author":"Lucas","year":"1999","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"6","key":"10.3233\/JIFS-212098_ref5","doi-asserted-by":"crossref","first-page":"556","DOI":"10.1002\/int.21794","article-title":"Belief and plausibility functions on intuitionistic fuzzy sets","volume":"31","author":"Hwang","year":"2016","journal-title":"International Journal of Intelligent Systems"},{"issue":"11","key":"10.3233\/JIFS-212098_ref6","doi-asserted-by":"crossref","first-page":"1215","DOI":"10.1002\/int.20246","article-title":"Generalization of belief and plausibility functions to fuzzy sets based on the Sugeno integral","volume":"22","author":"Hwang","year":"2007","journal-title":"International Journal of Intelligent Systems"},{"key":"10.3233\/JIFS-212098_ref7","doi-asserted-by":"crossref","unstructured":"Bakioglu G. and Atahan A.O. , AHP integrated TOPSIS and VIKOR methods with Pythagorean fuzzy sets to prioritize risks in self-driving vehicles, Applied Soft Computing 99 (2021).","DOI":"10.1016\/j.asoc.2020.106948"},{"issue":"17","key":"10.3233\/JIFS-212098_ref9","doi-asserted-by":"crossref","first-page":"12926","DOI":"10.1016\/j.eswa.2012.05.031","article-title":"Risk evaluation in failure mode and effects analysis with extended VIKOR method under fuzzy environment","volume":"39","author":"Liu","year":"2012","journal-title":"Expert Systems with Applications"},{"issue":"3","key":"10.3233\/JIFS-212098_ref10","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1109\/21.57269","article-title":"Generalizing the Dempster-Schafer theory to fuzzy sets","volume":"20","author":"Yen","year":"1990","journal-title":"IEEE Transactions on Systems, man, and Cybernetics"},{"issue":"3","key":"10.3233\/JIFS-212098_ref14","first-page":"338","article-title":"Information and control","volume":"8","author":"Zadeh","year":"1965","journal-title":"Fuzzy sets"},{"issue":"8","key":"10.3233\/JIFS-212098_ref15","doi-asserted-by":"crossref","first-page":"772","DOI":"10.1016\/j.knosys.2010.04.014","article-title":"An interpretation of intuitionistic fuzzy sets in terms of evidence theory decision making aspect","volume":"23","author":"Dymova","year":"2010","journal-title":"Knowledge-Based Systems"},{"key":"10.3233\/JIFS-212098_ref16","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.knosys.2012.04.026","article-title":"The operations on intuitionistic fuzzy values in the framework of Dempster\u2013Shafer theory","volume":"35","author":"Dymova","year":"2012","journal-title":"Knowledge-Based Systems"},{"issue":"5","key":"10.3233\/JIFS-212098_ref17","doi-asserted-by":"crossref","first-page":"3016","DOI":"10.1109\/TFUZZ.2018.2796552","article-title":"Towards a Dempster\u2013Shafer Fuzzy Description Logic Handling Imprecision in the Semantic Web","volume":"26","author":"Karanikola","year":"2018","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"10","key":"10.3233\/JIFS-212098_ref18","doi-asserted-by":"crossref","first-page":"2692","DOI":"10.1002\/int.22174","article-title":"A graphical method for ranking Atanassov\u2019s intuitionistic fuzzy values using the uncertainty index and entropy","volume":"34","author":"Ali","year":"2019","journal-title":"International Journal of Intelligent Systems"},{"issue":"14","key":"10.3233\/JIFS-212098_ref20","doi-asserted-by":"crossref","first-page":"5835","DOI":"10.1007\/s00500-018-3248-0","article-title":"Distance and similarity measures of hesitant fuzzy sets based on Hausdorff metric with applications to multi-criteria decision making and clustering","volume":"23","author":"Yang","year":"2019","journal-title":"Soft Computing"},{"issue":"5","key":"10.3233\/JIFS-212098_ref22","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1002\/int.21584","article-title":"Pythagorean membership grades, complex numbers, and decision making","volume":"28","author":"Yager","year":"2013","journal-title":"International Journal of Intelligent Systems"},{"issue":"1","key":"10.3233\/JIFS-212098_ref23","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0020-0255(82)90031-7","article-title":"Generalized probabilities of fuzzy events from fuzzy belief structures","volume":"28","author":"Yager","year":"1982","journal-title":"Information Sciences"},{"issue":"4","key":"10.3233\/JIFS-212098_ref25","doi-asserted-by":"crossref","first-page":"958","DOI":"10.1109\/TFUZZ.2013.2278989","article-title":"Pythagorean membership grades in multicriteria decision making","volume":"22","author":"Yager","year":"2013","journal-title":"IEEE Transactions on Fuzzy Systems"},{"issue":"16","key":"10.3233\/JIFS-212098_ref26","first-page":"99","article-title":"Intuitionistic fuzzy entropy and its applications to multicriteria decision making with IF-TODIM","volume":"7","author":"Abbas","year":"2021","journal-title":"Journal of Mechanics of Continua and Mathematical Sciences"},{"issue":"1","key":"10.3233\/JIFS-212098_ref27","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/MIM.2013.6417052","article-title":"The theory of evidence: a new promising approach to the evaluation and expression of measurement uncertainty","volume":"16","author":"Salicone","year":"2013","journal-title":"IEEE Instrumentation & Measurement Magazine"},{"issue":"2","key":"10.3233\/JIFS-212098_ref28","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1007\/s41066-017-0061-6","article-title":"Several hybrid aggregation operators for triangular intuitionistic fuzzy set and their application in multi-criteria decision making","volume":"3","author":"Mahmood","year":"2018","journal-title":"Granular Computing"},{"issue":"12","key":"10.3233\/JIFS-212098_ref29","doi-asserted-by":"crossref","first-page":"1061","DOI":"10.1002\/int.21676","article-title":"Extension of TOPSIS to multiple criteria decisions making with Pythagorean fuzzy sets","volume":"29","author":"Zhang","year":"2014","journal-title":"International Journal of Intelligent Systems"},{"issue":"6","key":"10.3233\/JIFS-212098_ref30","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1002\/int.21796","article-title":"A novel approach based on similarity measure for Pythagorean fuzzy multiple criteria group decision making","volume":"31","author":"Zhang","year":"2016","journal-title":"International Journal of Intelligent Systems"},{"issue":"10","key":"10.3233\/JIFS-212098_ref31","doi-asserted-by":"crossref","first-page":"2633","DOI":"10.1002\/int.22169","article-title":"Distance and similarity measures of Pythagorean fuzzy sets based on the Hausdorff metric with application to fuzzy TOPSIS","volume":"34","author":"Hussain","year":"2019","journal-title":"International Journal of Intelligent Systems"},{"issue":"6","key":"10.3233\/JIFS-212098_ref32","first-page":"64","article-title":"Similarity measures of Pythagorean fuzzy sets with applications to pattern recognition and multicriteria decision making with Pythagorean TOPSIS","volume":"16","author":"Hussain","year":"2021","journal-title":"Journal of Mechanics of Continua and Mathematical Sciences"},{"key":"10.3233\/JIFS-212098_ref33","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1016\/j.ins.2022.03.097","article-title":"Group decision making based on multiplicative consistency and consensus of Pythagorean fuzzy preference relations,pp","volume":"601","author":"Zhang","year":"2022","journal-title":"Information Sciences"},{"key":"10.3233\/JIFS-212098_ref34","doi-asserted-by":"crossref","first-page":"152087","DOI":"10.1016\/j.scitotenv.2021.152087","article-title":"Lake ecosystem health assessment using a novel hybrid decision-making framework in the Nam Co, Qinghai-Tibet Plateau","volume":"808","author":"Zhang","year":"2022","journal-title":"Science of The Total Environment"}],"container-title":["Journal of Intelligent & Fuzzy Systems"],"original-title":[],"link":[{"URL":"https:\/\/content.iospress.com\/download?id=10.3233\/JIFS-212098","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,26]],"date-time":"2024-11-26T13:59:32Z","timestamp":1732629572000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.medra.org\/servlet\/aliasResolver?alias=iospress&doi=10.3233\/JIFS-212098"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,5]]},"references-count":26,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.3233\/jifs-212098","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"type":"print","value":"1064-1246"},{"type":"electronic","value":"1875-8967"}],"subject":[],"published":{"date-parts":[[2023,1,5]]}}}