CRM-Based Dynamic Decision-Making With Hesitant Fuzzy Information for the Evaluation of Rangelands

Abstract

As one of the important components of global land ecosystem, rangeland ecosystem has important value of ecosystem services. With the degeneration of rangeland in recent years, sustainability within rangeland ecosystem has become an increasingly important issue. The aim of this paper is to develop a novel dynamic decision-making approach based on hesitant fuzzy information to evaluate rangeland sustainability that considers ecological, social and economic aspects. Firstly, a modified satisfaction degree of alternative is presented, based on which a mathematical model for determining the stage weights is constructed. Secondly, the compromise ratio method (CRM), whose basic principle is that the optimal alternative should have the nearest distance from positive ideal solution and the longest distance from negative ideal solution simultaneously, is extended to accommodate hesitant fuzzy environment, and then adopted to tackle the dynamic decision-making with hesitant fuzzy information. Compared with the existing methods, the proposed method can eliminate the impact of attribute magnitude and dimension. Lastly, a numerical example on the evaluation of rangelands is provided to illustrate the practicality and superiority of the proposed method.

INVESTMENT DECISION MAKING ALONG THE B&R USING CRITIC APPROACH IN PROBABILISTIC HESITANT FUZZY ENVIRONMENT

“…With the aid of hesitant degree of PHFE, Wu et al (2019) presented a new distance for PHFSs. Obviously, distance measures have been proven to be useful in MADM (Liu et al, 2018). However, the available distances for PHFSs have failed to meet the condition of distance measure, which implies that they are not appropriate distance measures for PHFSs.…”

A Novel Approach to Fuzzy Cognitive Map Based on Hesitant Fuzzy Sets for Modeling Risk Impact on Electric Power System

“…Singh and Lalotra [33] proposed the correlation coefficients between two HFSs and applied them to clustering analysis in hesitant fuzzy settings. Liu et al [34] presented a novel approach to emergency decision-making with hesitant fuzzy information. A review of literature shows that the research on HFS has shown an increasing tendency.…”

New Framework for FCMs Using Dual Hesitant Fuzzy Sets with an Analysis of Risk Factors in Emergency Event

“…In the decision-making process, there are different sources of uncertainty [8,26]. To deal with the uncertainty, many different uncertain theories are proposed, such as fuzzy sets (FSs) [27,28], intuitionistic fuzzy sets (IFSs) [29,30], hesitant fuzzy sets (HFSs) [25,31,32], DHFSs [33], GST [34], hesitant fuzzy linguistic term sets [35,36], etc. [37,38].…”

“…The reasons for choosing DHFSs theory are in the following: (1) DHFSs, whose membership and nonmembership degrees are represented by a set of possible values in [0, 1] respectively, is considered as a powerful tool to express uncertain information in the process of multi-attribute group decision-making [44]. In addition, the original operation rules for DHFSs will lead to an increase in the computational dimensions [32]. To overcome this drawback, this paper presents some novel operation rules for DHFSs.…”