caa a22 4500 606160493 CHVBK 20210128100630.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00521-014-1630-0 doi (NATIONALLICENCE)springer-10.1007/s00521-014-1630-0 Ant algorithm for modifying an inconsistent pairwise weighting matrix in an analytic hierarchy process [Elektronische Daten] [Abba Girsang, Chun-Wei Tsai, Chu-Sing Yang] One important issue in the analytic hierarchy process (AHP) is confirming the consistency of comparison matrix to verify the logical respondent opinion. As inconsistent comparison matrix cannot be used as reference to make decisions, this paper proposes a method using an ant algorithm to modify an inconsistent pairwise weight matrix to be consistent in AHP, called ANTAHP. This method employs the matrix element as the path in an ant colony optimization to construct the tour. By laying pheromone information on their path, the ants can find the optimal matrix (or tour), which satisfies the consistency and closer to the original judgment of the decision makers. The experimental results demonstrate that the proposed algorithm is able to make consistent matrices, as well as minimize the difference index. Springer-Verlag London, 2014 Ant algorithm nationallicence Inconsistent matrix nationallicence Pairwise weight matrix nationallicence Consistent ratio nationallicence Girsang Abba Institute of Computer and Communication Engineering, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, ROC aut Tsai Chun-Wei Department of Applied Informatics and Multimedia, Chia Nan University of Pharmacy and Science, Tainan, Taiwan, ROC aut Yang Chu-Sing Institute of Computer and Communication Engineering, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, ROC aut Neural Computing and Applications Springer London 26/2(2015-02-01), 313-327 0941-0643 26:2<313 2015 26 521 https://doi.org/10.1007/s00521-014-1630-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00521-014-1630-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Girsang Abba Institute of Computer and Communication Engineering, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, ROC aut NATIONALLICENCE 700 1- Tsai Chun-Wei Department of Applied Informatics and Multimedia, Chia Nan University of Pharmacy and Science, Tainan, Taiwan, ROC aut NATIONALLICENCE 700 1- Yang Chu-Sing Institute of Computer and Communication Engineering, Department of Electrical Engineering, National Cheng Kung University, Tainan, Taiwan, ROC aut NATIONALLICENCE 773 0- Neural Computing and Applications Springer London 26/2(2015-02-01), 313-327 0941-0643 26:2<313 2015 26 521