The Context-Based Distance Measure For Intuitionistic Fuzzy Set With Application In Marine Energy Transportation Route Decision Making

Background and motivation: The distance measure is a classical topic in the intuitionistic fuzzy set theory. Although plenty of distance measures have been proposed and successfully applied to the decision-making problems, it is found that there still exists the counter-intuitive phenomenon where the context information in the alternatives is seldom considered in the existing distance measures.Methods: A context-based distance measure for the intuitionistic fuzzy set is proposed to solve this problem in this paper. The domination and competition relationships of the alternatives are integrated into the new distance measure. To fully take advantage of the proposed distance measure, a new similarity measure that utilizes the nonlinear function of the distance and additional parameters to control its discrimination capability is also defined. To demonstrate the effectiveness of the proposed information measures and their practical applications, an extended decision making method based on the order preference by similarity to ideal solutions is proposed.Results: A practical case study of the marine energy transportation route decision making problem is provided as the validation. The comparative results comparing with other methods demonstrate the fine discrimination ability and effectiveness of the proposed methods. (C) 2020 Elsevier B.V. All rights reserved.