- Tytuł:
- An incomplete soft set and its application in MCDM problems with redundant and incomplete information
- Autorzy:
-
Xia, Sisi
Yang, Haoran
Chen, Lin - Powiązania:
- https://bibliotekanauki.pl/articles/2055164.pdf
- Data publikacji:
- 2021
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
soft set
incomplete soft set
incomplete information
redundant information
multiple criteria decision making
zbiór miękki
informacja niepełna
informacja zbędna
decyzja wielokryterialna - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2021, 31, 3; 417--430
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł