Some Maclaurin Symmetric Mean Aggregation Operators Based on Cloud Model and Their Application to Decision-Making

Abstract

The cloud model (CM) is an important tool to describe qualitative concept by the quantitative method, and the Maclaurin symmetric mean (MSM) can capture the interrelationship among the multi-inputs and it can generalize most of existing operators. In this paper, we firstly convert the uncertain linguistic variables (ULVs), which are easily used to express the qualitative information, to CM. Then, we combine the MSM with the CM, and propose the cloud MSM (CMSM) operator and cloud weighted MSM (CWMSM) operator. In addition, we explore some of their desirable features and develop a new approach to deal with some multi-attribute group decision-making (MAGDM) problems under the uncertain environment based on the proposed operators. Finally, by comparing with other approaches, an illustrative example is arranged to demonstrate the usability of the proposed method.

Risk-Based Multi-Attribute Decision-Making for Normal Cloud Model Considering Pre-Evaluation Information

“…Then, according to the meaning of entropy En , there should be En ≥ 0, i.e., En− 3λ × He ≥ 0. To satisfy this requirement, λ is limited to the range of [−1, min{1, En/(3He)}], and then we have En − 3 min{1, En/(3He)} × He ≤ En ≤ En − 3He according to (5). However, there might exist En = 0 when 0 < λ ≤ min{1, En/(3He)}, the randomness is therefore eliminated, then we take E(C) = Ex.…”

“…In decision-making practice, decision-makers (DMs) prefer to use linguistic terms to express their preferences due to the fact that this expression is not only intuitive and easy to express but can well align human source [2]- [4]. However, most of existing methods based on linguistic terms rely on the conversion between linguistic information and exact numbers, and thus ignore the randomness and fuzziness which are the two key aspects of various uncertainties involved in the linguistic expression [5]. Cloud model, initially proposed by Li based on probability theory and fuzzy set theory [6], is a very good tool to describe the qualitative concept by using the quantitative method.…”

Approaches to Multiple Attribute Decision-Making with Fuzzy Number Intuitionistic Fuzzy Information and Their Application to English Teaching Quality Evaluation

“…Nevertheless, all the functions and tools proposed by the above scholars do not take into account the relationship between parameters [38][39][40][41]. To conquer these shortcomings, the crucial purpose of the article is to connect the FNIFSs with MSM operator [42][43][44][45][46][47] to build several novel fused formulas under FNIFSs.…”

Spatial Spillover Effect of Financial Flexibility on Investment in China’s Convention and Exhibition Listed Companies

“…Furthermore, in terms of research methods, quantitative analysis is employed by using the spatial panel econometric model from the spatial dimension. As we all know, quantitative analysis has become a necessary yet crucial method for almost all kinds of research areas [32][33][34][35][36][37]. As far as we know, there is no literature using this econometric empirical model to investigate the relationship between financial flexibility and investment in Convention and Exhibition enterprises.…”