{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T21:04:09Z","timestamp":1761599049745},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2004,9]]},"abstract":"<jats:p> The inconsistency of judgments in the fuzzy Analytic Hierarchy Process (AHP) is a crucial issue. To make the appropriate decision, the inconsistency in decision maker's (DM) judgments needs to be eliminated or reduced. This paper proposes two mathematical models to deal with inconsistency in fuzzy AHP. In the first model, the DM's judgments are modified where the preference order of the DM's judgments remained unchanged. The second model allows reversing the preference orders of judgments. The proposed models aim to eliminate or reduce the inconsistency of fuzzy AHP by changing judgments. The models cause fewer changes for the high certain judgments. Two examples solved by the proposed models are included for purposes of illustration. <\/jats:p>","DOI":"10.1142\/s0217595904000291","type":"journal-article","created":{"date-parts":[[2004,8,23]],"date-time":"2004-08-23T11:43:25Z","timestamp":1093261405000},"page":"379-391","source":"Crossref","is-referenced-by-count":14,"title":["EDUCING INCONSISTENCY IN FUZZY AHP BY MATHEMATICAL PROGRAMMING MODELS"],"prefix":"10.1142","volume":"21","author":[{"given":"MEHDI","family":"GHAZANFARI","sequence":"first","affiliation":[{"name":"Iran University of Science &amp; Technology, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MAJID","family":"NOJAVAN","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, Islamic Azad University, South Branch, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,1,25]]},"reference":[{"key":"rf1","first-page":"43","author":"Arbel A.","journal-title":"European Journal of Operation Research"},{"key":"rf2","first-page":"17","author":"Buckley J. J.","journal-title":"Fuzzy Sets and Systems"},{"key":"rf3","first-page":"29","author":"Boender C. G. E.","journal-title":"Fuzzy Sets and Systems"},{"key":"rf4","first-page":"124","author":"Leung L. C.","journal-title":"European Journal of Operation Research"},{"key":"rf5","volume-title":"The Analytic Hierarchy Process","author":"Saaty T. L.","year":"1980"},{"key":"rf6","first-page":"84","author":"Salo A. A.","journal-title":"Fuzzy Sets and Systems"},{"key":"rf7","first-page":"82","author":"Salo A. A.","journal-title":"European Journal of Operation Research"},{"key":"rf8","first-page":"11","author":"Van Laarhoven P. J. M.","journal-title":"Fuzzy Sets and Systems"}],"container-title":["Asia-Pacific Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0217595904000291","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T13:57:39Z","timestamp":1565186259000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0217595904000291"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,9]]},"references-count":8,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,1,25]]},"published-print":{"date-parts":[[2004,9]]}},"alternative-id":["10.1142\/S0217595904000291"],"URL":"https:\/\/doi.org\/10.1142\/s0217595904000291","relation":{},"ISSN":["0217-5959","1793-7019"],"issn-type":[{"value":"0217-5959","type":"print"},{"value":"1793-7019","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,9]]}}}