An incomplete soft set and its application in MCDM problems with redundant and incomplete information

• Autorzy: Xia Sisi , Yang Haoran , Chen Lin

Identyfikatory

DOI

10.34768/amcs-2021-0028

• Języki publikacji: EN

Abstrakty

EN

Multiple criteria decision making (MCDM) problems in practice may simultaneously contain both redundant and incomplete information and are difficult to solve. This paper proposes a new decision-making approach based on soft set theory to solve MCDM problems with redundant and incomplete information. Firstly, we give an incomplete soft set a precise definition. After that, the binary relationships of objects in an incomplete soft set are analyzed and some operations on it are provided. Next, some definitions regarding the incomplete soft decision system are also given. Based on that, an algorithm to solve MCDM problems with redundant and incomplete information based on an incomplete soft set is presented and illustrated with a numerical example. The results show that our newly developed method can be directly used on the original redundant and incomplete data set. There is no need to transform an incomplete information system into a complete one, which may lead to bad decision-making due to information loss or some unreliable assumptions about the data generating mechanism. To demonstrate its practical applications, the proposed method is applied to a problem of regional food safety evaluation in Chongqing, China.

Słowa kluczowe

EN

soft set; incomplete soft set; incomplete information; redundant information; multiple criteria decision making

PL

zbiór miękki; informacja niepełna; informacja zbędna; decyzja wielokryterialna

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2021
• Tom: Vol. 31, no. 3
• Strony: 417--430
• Opis fizyczny: Bibliogr. 37 poz., tab.

Twórcy

autor

Xia Sisi

• School of Economics, Southwest University of Political Science and Law, No. 301, Baosheng Ave., Yubei District, 401120 Chongqing, China

autor

Yang Haoran

• School of Economics, Southwest University of Political Science and Law, No. 301, Baosheng Ave., Yubei District, 401120 Chongqing, China

autor

Chen Lin

• Chongqing Institute of Green and Intelligent Technology, Chinese Academy of Sciences, No. 266, Fangzheng Ave., Shuitu Town, Beibei District, 400714 Chongqing, China

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).