An Interactive Signed Distance Approach for Multiple Criteria Group Decision-Making Based on Simple Additive Weighting Method with Incomplete Preference Information Defined by Interval Type-2 Fuzzy Sets

作者: Ting-Yu Chen

DOI: 10.1142/S0219622014500229

关键词: Fuzzy setInterval (mathematics)Mathematical optimizationArtificial intelligenceMathematicsGroup decision-makingContext (language use)Fuzzy numberSigned distance functionWeightingFuzzy logic

摘要: Interval type-2 fuzzy sets (T2FSs) with interval membership grades are suitable for dealing imprecision or uncertainties in many real-world problems. In the context, aim of this paper is to develop an interactive signed distance-based simple additive weighting (SAW) method solving multiple criteria group decision-making problems linguistic ratings and incomplete preference information. This first formulates a problem uncertain variables their transformation trapezoidal numbers. Concerning relative importance decision-makers consensus opinions, procedure using hybrid averages then employed construct collective decision matrix. By appropriate extension classical SAW approach, utilizes concept distances establishes integrated programming model manage multi-criteria decisions under inconsistent structure. Further, established making. Finally, feasibility effectiveness proposed methods illustrated by collaborative patient-centered care (PCC).

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