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Fully implicational multiple Ⅰ algorithm and its application to multicriteria decision making

LIU Ha-wen1,2,3, WANG Guo-jun3 and ZHANG Cheng-yi1   

  1. 1. Department of Mathematics, Hainan Normal University, Haikou 571158; 2. School of Mathematics and System Sciences, Shandong University, Jinan 250100;3. Institute of Mathematics, Shaanxi Normal University, Xi'an 710062
  • Received:2006-09-12 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: LIU Ha-wen

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Abstract: The fully implicational idea is applied to reasoning problems based on Lfuzzy sets, where L is a complete lattice. On one hand, the α-multiple Ⅰ algorithm for the reasoning problems is established. On the other hand, the reversibility property of the corresponding multiple Ⅰ algorithm is discussed based on a class of implication operators. Finally, as one of the applications of the multiple Ⅰ algorithm, a type of multicriteria decisionsmaking problem is solved.

Key words: multi-criteria decision making , reversibility property, multiple Ⅰ algorithm, fuzzy reasoning

CLC Number: 

  • O159
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