An interval type-2 fuzzy LINMAP method with approximate ideal solutions for multiple criteria decision analysis文档.pdf

Information Sciences 297 (2015) 50–79 Contents lists available at ScienceDirect Information Sciences journal homepage: www.else /locate/ins An interval type-2 fuzzy LINMAP method with approximate ideal solutions for multiple criteria decision analysis Ting-Yu Chen ⇑ Department of Industrial and Business Management, Graduate Institute of Business and Management, College of Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, Taoyuan 333, Taiwan a r t i c l e i n f o a b s t r a c t Article history: The purpose of this paper is to develop a linear programming technique for multidimen- Received 24 July 2013 sional analysis of preference (LINMAP) to address multiple criteria decision analysis prob- Received in revised form 24 September lems within the interval type-2 fuzzy environment based on interval type-2 trapezoidal 2014 fuzzy numbers. Considering the issue of anchor dependency, we use multiple anchor points Accepted 25 October 2014 Available online 13 November 2014 in the decision-making process and employ approximate positive-ideal and negative-ideal solutions as the points of reference. Selected useful properties of the approximate ideal solutions are also investigated. In contrast to the classical LINMAP methods, this paper Keywords: LINMAP directly generates approximate ideal solutions from the characteristics of all alternatives. Mul