Multi-criteria decision support systems based on linguistic intuitionistic cubic fuzzy aggregation operators
- PDF / 783,833 Bytes
- 19 Pages / 595.276 x 790.866 pts Page_size
- 95 Downloads / 181 Views
ORIGINAL RESEARCH
Multi-criteria decision support systems based on linguistic intuitionistic cubic fuzzy aggregation operators Muhammad Qiyas1
•
Saleem Abdullah1 • Yi Liu2 • Muhammad Naeem3
Received: 12 May 2020 / Accepted: 17 September 2020 Ó Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This article is an advanced approach to linguistic intuitionistic fuzzy variable through application of cubic set theory. For instance, we establish the idea of the linguistic intuitionistic cubic fuzzy variable (LICFV) theory and define several operations for LICFV; also establish a series of weighted aggregation operators under linguistic intuitionistic cubic fuzzy information, so called linguistic intuitionistic cubic fuzzy weighted averaging (LICFWA) operator, linguistic intuitionistic cubic fuzzy order weighted averaging (LICFOWA) operator, linguistic intuitionistic cubic fuzzy weighted geometric (LICFWG) operator, linguistic intuitionistic cubic fuzzy order weighted geometric (LICFOWG) operator, linguistic intuitionistic cubic fuzzy hybrid averaging (LICFHA) operator, and linguistic intuitionistic cubic fuzzy hybrid geometric (LICFHG) operator; and further study their fundamental properties and showed the relationship among these aggregation operators. In order to demonstrate the feasibility and practicality of the mentioned new technique, we develop multi-criteria decision-making algorithm under linguistic intuitionistic cubic fuzzy environment. Further, the proposed method applied to mobile phone selection, consider numerical application of mobile phone. Comparing the proposed techniques with other pre-existing aggregation operators, we concluded that the proposed technique is better, reliable, and effective. Keywords Linguistic intuitionistic cubic fuzzy variable Linguistic intuitionistic cubic fuzzy weighted averaging and geometric operators Multi-criteria decision-making
1 Introduction Multi-criteria decision-making (MCDM) has played an significant role in everyday activities, such as economic, engineering, education, medical, and so on. In MCDM, one & Muhammad Qiyas [email protected] Saleem Abdullah [email protected] Yi Liu [email protected] Muhammad Naeem [email protected] 1
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan, Khyber Pakhtunkhwa, Pakistan
2
School of Mathematics and Information Sciences, Neijiang Normal University, Sichuan Province, P.R. China
3
Deanship of Combined First Year, Umm Al-Qura University, Makkah, Kingdom of Saudi Arabia
of the problems involves gathering multiple sources of information, i.e. finite alternatives giving the final result by aggregating process according to the attribute values of different alternatives (Chen and Tan 1994; Hong and Choi 2000; Li 2014; Merigo and Casanovas 2010; Xia and Xu 2013; Zhang and Liu 2010). One critical question in the decision process is how to communicate the value of the attribute. Due to the difficulty of the decision-making problems, it is often difficult to represent th
Data Loading...
