A novel approach of linguistic intuitionistic cubic hesitant variables and their application in decision making

Abstract

In this paper, we proposed the notion of linguistic intuitionistic cubic hesitant variables and defined some aggregation operators to deal with uncertainties in the form of linguistic intuitionistic cubic hesitant variables (LICHVs). LICHVs operators have more flexibility due to the general fuzzy set. We developed a series of aggregation operators, namely linguistic intuitionistic cubic hesitant variable averaging and linguistic intuitionistic cubic hesitant variable geometric aggregation operators. The distinguished feature of the developed operators is discussed. At that point, we used the developed operators to design a model to solve multi-criteria decision making issues with linguistic intuitionistic cubic hesitant variables. Further, the proposed method applied to explosion incident occurred in a chemical factory. We also proved that our developed model is practical and gives the decision makers more mathematical insight during the decision making on their options. Finally, a systematic comparison is conducted with other existent methods to show the advantage of our developed method.

A new integrated multi-attribute decision-making approach for mobile medical app evaluation under q-rung orthopair fuzzy environment

“…As future research, we will analyze the application of the proposed method to above actual MADM problems. In addition, possible combinations between the Zhenyuan integral and other assessment expression models, such as the spherical fuzzy sets (Rayappan & Krishnaswamy, 2020), neutrosophic structured elements sets (Edalatpanah, 2020), linguistic q-ROFSs , complex q-rung picture fuzzy sets , linguistic intuitionistic cubic hesitant sets (Qiyas et al 2021), intuitionistic fuzzy rough sets (Yahya et al, 2021), and probabilistic hesitant fuzzy sets (Naeem et al, 2021), to deal with various kinds of problems would be worth investigating.…”

Some Intuitionistic Cubic Fuzzy Muirhead Mean Operators with Their Application to Multicriteria Decision Making

“…Muneeza and Abdullah [26] and Kaur and Garg [22] established a series of weighted aggregation operators under ICFS theory, containing intuitionistic cubic fuzzy weighted average (ICFWA) operator, intuitionistic cubic fuzzy ordered weighted average (ICFOWA) operator, intuitionistic cubic fuzzy weighted geometry (ICFWG) operator, intuitionistic cubic fuzzy order weighted geometry (ICFOWG) operator, intuitionistic cubic fuzzy mixed average (ICFMA) operator, and intuitionistic cubic fuzzy mixed geometry (ICFMG) operator. Qiyas [27,28] and Liu et al [29] further established a series of weighted clustering operators on linguistic intuitionistic cubic fuzzy sets (LICFS), including linguistic intuitionistic cubic fuzzy weighted average (LICFWA) operator, linguistic intuitionistic cubic fuzzy order weighted average (LICFOWA) operator, linguistic intuitionistic cubic fuzzy weighted geometry (LICFWG) operator, linguistic intuitionistic cubic fuzzy geometry (LICFOWG) operator, linguistic intuitionistic cubic fuzzy weighted geometry (LICFOWG) operator, linguistic intuitionistic cubic fuzzy hybrid average (LICFHA) operator, and linguistic intuitionistic cubic fuzzy hybrid geometry (LICFHG) operator. However, these aggregation operators do not consider the relationship between aggregated attributes, and to address this problem, Ates and Akay [30] conducted a study on the application of Bonferroni mean (BM) operators in MCDM.…”

Multi-attribute Group Decision-making for Online Education Live Platform Selection Based on Linguistic Intuitionistic Cubic Fuzzy Aggregation Operators

“…Some researchers have made many contributions to the research of CFS: Mahmood et al [37] extended CFS to the cubic hesitation fuzzy Set, Fahmi et al [28] [29] [38] extended CFS to the cubic linguistic hesitation fuzzy set, and so on. Subsequently, some AOs based on CFS are proposed and applied in practice [27] [30] [31] [32] [33].…”