Single-valued neutrosophic Einstein interactive aggregation operators with applications for material selection in engineering design: case study of cryogenic storage tank

Abstract

Single-valued neutrosophic sets (SVNSs) and their application to material selection in engineering design. Liquid hydrogen is a feasible ingredient for energy storage in a lightweight application due to its high gravimetric power density. Material selection is an essential component in engineering since it meets all of the functional criteria of the object. Materials selection is a time-consuming as well as a critical phase in the design process. Inadequate material(s) selection can have a detrimental impact on a manufacturer’s production, profitability, and credibility. Multi-criteria decision-making (MCDM) is an important tool in the engineering design process that deals with complexities in material selection. However, the existing MCDM techniques often produce conflicting results. To address such problems, an innovative aggregation technique is proposed for material selection in engineering design based on truthness, indeterminacy, and falsity indexes of SVNSs. Taking advantage of SVNSs and smooth approximation with interactive Einstein operations, single-valued neutrosophic Einstein interactive weighted averaging and geometric operators are proposed. Based on proposed AOs, a robust MCDM approach is proposed for material selection in engineering design. A practical application of the proposed MCDM approach for material selection of cryogenic storage containers is developed. Additionally, the authenticity analysis and comparison analysis are designed to discuss the validity and rationality of the optimal decision.

Picture Fuzzy Einstein Hybrid-Weighted Aggregation Operator and Its Application to Multicriteria Group Decision Making

“…In the course of MCGMD with IFS, hesitant fuzzy set, and NS, the aggregation operators play a very important role [ 33 ]. Many scholars have introduced various aggregation operators for IFS, hesitant fuzzy set, and NS, such as intuitionistic fuzzy aggregation operators [ 34 ], hesitant fuzzy aggregation operators [ 35 ], interval-valued intuitionistic fuzzy aggregation operators [ 36 ], the neutrosophic fuzzy aggregation operators [ 37 , 38 ] picture fuzzy aggregation operators [ 39 – 41 ], and so on. Note that most of the abovementioned aggregation operators were developed based on the triangular t-norm and t-conorm for the following reasons.…”

Multicriteria decision‐making with proportional distribution based spherical fuzzy fairly aggregation operators

“…Wei established TODIM (an acronym in Portuguese of interactive and multiple attribute decision‐making) Method for PFSs, 34 “picture 2‐tuple linguistic Bonferroni mean AOs” 35 and “picture uncertain linguistic Bonferroni mean AOs.” 36 Wei et al 37 proposed “picture 2‐tuple linguistic AOs” with MCDM. There are many AOs for different extensions of FSs given in references [38–43]. Alcantud et al 44 proposed an N‐soft set approach to the rough sets and Alcantud et al 45 also gave the notion of dual extended hesitant FSs.…”

“…36 Wei et al 37 proposed "picture 2-tuple linguistic AOs" with MCDM. There are many AOs for different extensions of FSs given in references [38][39][40][41][42][43]. Alcantud et al 44 proposed an N-soft set approach to the rough sets and Alcantud et al 45 also gave the notion of dual extended hesitant FSs.…”

Multi-criteria group decision-making algorithm based on single-valued neutrosophic Einstein prioritized aggregation operators and its applications

“…(2022) proposed some AOs for fuzzy parameterized fuzzy soft matrices. Farid and Riaz (2022) gave the idea of single-valued neutrosophic Einstein interactive AOs for MCDM. Farid et al.…”