Formation mechanism of yellow soil aggregate of tea garden and quality assessments under hesitant fuzzy environment

Issue title: Special Section: Fuzzy Decision Making and Applications in Knowledge Management

Guest editors: Justin Zhang

Article type: Research Article

Authors: Yan, Xiong^{a; b; c} | Li, Wenzhao^{a; b; c; *}

Affiliations: [a] Zunyi Normal University, Zunyi, China | [b] Key Laboratory of Soil Resources and Environment in Qianbei of Guizhou Province, Zunyi, China | [c] Institute of Soil and Mountain Resources Exploitation and Utilization, Zunyi Normal University, Zunyi, China

Correspondence: [*] Corresponding author. Wenzhao Li, Zunyi Normal University, Zunyi, 563006, China. E-mail: znymhxt@163.com.

Abstract: The Maclaurin symmetric mean (MSM) was originally introduced by Maclaurin. The prominent characteristic of the MSM is that it can capture the interrelationship among the multi-input arguments. However, the researches on MSM are very rare, especially in fuzzy decision making. In this paper, we investigate the MSM operator and extend the MSM operator to hesitant fuzzy environment and develop the hesitant fuzzy Maclaurin symmetric mean (HFMSM) operator and hesitant fuzzy weighted Maclaurin symmetric mean (HFWMSM) operator. Based on HFWMSM operator, an approach to multiple attribute decision making problems with hesitant fuzzy information is developed. Finally, an illustrative example for quality assessments of Yellow soil aggregate of tea garden is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Keywords: Hesitant fuzzy sets, operational laws, hesitant fuzzy Maclaurin symmetric mean (HFMSM) operator, hesitant fuzzy weighted Maclaurin symmetric mean (HFWMSM) operator, quality assessments, yellow soil aggregate of tea garden

DOI: 10.3233/JIFS-179270

Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 2, pp. 2067-2073, 2019