Interval-valued hesitant fuzzy TODIM method for dynamic emergency responses

Quanyu Ding; Mark Goh; Ying-Ming Wang

doi:10.1007/s00500-021-05751-z

Interval-valued hesitant fuzzy TODIM method for dynamic emergency responses

Soft comput. 2021;25(13):8263-8279. doi: 10.1007/s00500-021-05751-z. Epub 2021 Apr 27.

Authors

Quanyu Ding^{1

2}, Mark Goh², Ying-Ming Wang^{1

3

4}

Affiliations

¹ Decision Sciences Institute, Fuzhou University, Fuzhou, 350116 Fujian People's Republic of China.
² NUS Business School and the Logistics Institute-Asia Pacific, National University of Singapore, Singapore, Singapore.
³ Key Laboratory of Spatial Data Mining and Information Sharing of Ministry of Education, Fuzhou University, Fuzhou, 350116 Fujian People's Republic of China.
⁴ School of Economics and Management, Fuzhou University, Fuzhou, 350116 Fujian People's Republic of China.

Abstract

Emergency responses bear the characteristics of uncertainty and possess multi-attributes in decision making. This paper applies the interval evidential reasoning approach and the interval-valued hesitant fuzzy TODIM (IVHF-TODIM) method to tackle the dynamic emergency decision-making problem. We introduce a function to obtain the gain and loss degrees through the geometric area method. The gain and loss matrices of the interval belief degrees are found probabilistically. A new approach to obtaining the dominance degree matrix is proposed. From the IVHF-TODIM method, the overall dominance degree is established to provide the ranking of the decision alternatives. A recent case of selecting an emergency decision alternative for a large bushfire is used to validate the proposed method, followed by a comparative analysis.

Keywords: Emergency decision making; Interval evidential reasoning; Interval-valued hesitant fuzzy sets; TODIM.