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Then we prove the property that the synthetic uncertain linguistic preference relation is of acceptable compatibility under the condition that uncertain multiplicative linguistic preference relations given by DMs are all of acceptable compatibility with a specific linguistic preference relation, which is the scientific basis of using the uncertain multiplicative linguistic preference relations in the GDM. Next, in order to determine the weights of decision makers, we construct an optimal model based on the criterion of minimizing the compatibility index. Finally, we develop an application of the optimal weights approach compared with the equal weights approach where we analyze a GDM regarding the selection of investment. <\/jats:p>","DOI":"10.1142\/s0218488513500025","type":"journal-article","created":{"date-parts":[[2013,3,1]],"date-time":"2013-03-01T18:16:15Z","timestamp":1362161775000},"page":"9-28","source":"Crossref","is-referenced-by-count":10,"title":["ON COMPATIBILITY OF UNCERTAIN MULTIPLICATIVE LINGUISTIC PREFERENCE RELATIONS AND ITS APPLICATION TO GROUP DECISION MAKING"],"prefix":"10.1142","volume":"21","author":[{"given":"LIGANG","family":"ZHOU","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"HUAYOU","family":"CHEN","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2013,3]]},"reference":[{"key":"p_1","first-page":"2137","volume":"31","author":"Chen H. 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