On n-polygonal interval-valued fuzzy numbers and application in e-commerce risk assessment

Article type: Research Article

Authors: Suo, Chunfeng^{a; b; *} | Li, Yongming^a | Guo, Li^b

Affiliations: [a] School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, Shaanxi, PR China | [b] School of Mathematics and Statistics, Beihua University, Jilin, Jilin, PR China

Correspondence: [*] Corresponding author. Chunfeng Suo, E-mail: [email protected].

Abstract: The polygonal interval-valued fuzzy number is constructed based on the polygonal fuzzy number and the interval-valued fuzzy number. Its main feature is that the linear operation of finite ordered points reduces the complexity of traditional interval-valued fuzzy number operations. This research presents a generalized distance formula between two polygonal interval-valued fuzzy numbers and explores topological properties under the distance of polygonal interval-valued fuzzy numbers. In addition, we adopt the TOPSIS (technique for order preference by similarity to an ideal solution) and prospect theory approach for the multi-attribute decision-making problem. The information of attributes describes with polygonal interval-valued fuzzy numbers, and we then implement optimized ranking on the alternatives according to the profit and loss ratio. Finally, we verify the effectiveness and practicability of the decision-making method and fuzzy numbers at polygonal interval-valued fuzzy numbers in e-commerce risk assessment.

Keywords: Polygonal interval-valued fuzzy number, human resource recruitment, generalized distance, arithmetic operation

DOI: 10.3233/JIFS-230040

Journal: Journal of Intelligent & Fuzzy Systems, vol. 45, no. 6, pp. 10739-10755, 2023