عنوان انگلیسی مقاله:
Group fuzzy comprehensive evaluation method under ignorance
ترجمه فارسی عنوان مقاله:
روش ارزیابی جامع فازی گروهی تحت جهل
Sciencedirect - Elsevier - Expert Systems With Applications, 126 (2019) 92-111: doi:10:1016/j:eswa:2019:02:006
Yuan-Wei Du a , c , ∗, Su-Su Wang a , Ying-Ming Wang b
This paper aims at solving such a group fuzzy comprehensive evaluation (FCE) problem that the global or local ignorance may exist in judgments made by experts and the importance degrees of experts are differ- ent. The basic probability assignment (BPA) function is used to extract the expert’s judgment information and the super fuzzy relationship matrices consisting of the individual type and the general type are con- structed by Shafer’s discounting and Dempster’s rule. Then each type of super fuzzy relationship matrix is combined with factor weight set via a specified fuzzy operator and the comprehensive evaluation result that is a belief distribution on the power set of grade levels is obtained. A multi-objective programming model is established to compute the optimal belief distribution on each grade level and an algorithm is summarized to derive the final grade level that the evaluated alternative belongs to. Moreover, the nu- merical comparisons between the proposed method and relevant existing methods are given to clarify the advantages of the proposed method. Finally, an illustrative example is provided to demonstrate the applicability of the proposed method and algorithm. It is worth noting that the proposed method can be easily converted into a core algorithm, which is benefit for developing fuzzy expert system from the perspective of ignorance, and thus it has an important impact and significance on expert and intelligent systems.
Keywords: Fuzzy comprehensive evaluation | Group decision making | Shafer’s discounting | Dempster’s rule | Super fuzzy relationship matrix | Multi-objective programming