VIKOR Method for Interval Neutrosophic Multiple Attribute Group Decision-Making

Abstract

Abstract:In this paper, we will extend the VIKOR (VIsekriterijumska optimizacija i KOmpromisno Resenje) method to multiple attribute group decision-making (MAGDM) with interval neutrosophic numbers (INNs). Firstly, the basic concepts of INNs are briefly presented. The method first aggregates all individual decision-makers' assessment information based on an interval neutrosophic weighted averaging (INWA) operator, and then employs the extended classical VIKOR method to solve MAGDM problems with INNs. The validity and stability of this method are verified by example analysis and sensitivity analysis, and its superiority is illustrated by a comparison with the existing methods.

VIKOR method for multiple criteria group decision making under 2-tuple linguistic neutrosophic environment

“…Based on above two numerical examples, we can easily find our proposed methods can express more fuzzy information and apply broadly situations in real MCGDM problems. Based on 2-tuple linguistic neutrosophic fuzzy set (2TLNS) and traditional VIKOR method, we develop the 2-tuple linguistic neutrosophic VIKOR method and the interval-valued 2-tuple linguistic neutrosophic VIKOR method; our research results can be more suitable for MCGDM problems than single-valued neutrosophic VIKOR method depicted in literature (Huang, Wei, & Wei, 2017). For the single-valued neutrosophic VIKOR method can't deal with MCGDM problems which the assessment results are depicted with 2TLNNs.…”

MADM Based on Generalized Interval Neutrosophic Schweizer-Sklar Prioritized Aggregation Operators

“…They also anticipated some weighted averaging and geometric AOs based on these Sh-Sk operational laws for INNs. In recent years, INSs have gained much attention from the researchers and a great number of achievement have been made, such as VIKOR [48][49][50], cross entropy [51], MABAC, EDAS [52], out ranking approach [53], distance and similarity measures [54], TOPSIS [55].…”

TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment

“…The Interactive Multi-Criteria Decision Making (TODIM) model, first defined by Gomes and Lima [1], is a useful tool to investigate multiple attribute group decision making (MAGDM) problems and has been widely used in industrial, commercial economy, and management science areas. Some traditional MAGDM models have been investigated in the previous literature, such as: the ELimination Et Choix Traduisant la Realité (ELECTRE) model [2]; the Preference Ranking Organization Method for Enrichment of Evaluations (PROMETHEE) model [3]; the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) model [4,5]; the grey relational analysis (GRA) model [6][7][8]; the multi-objective optimization by ratio analysis plus the full multiplicative form (MULTIMOORA) model [9,10]; and, the VIseKriterijumska Optimizacija I KOmpromisno Resenje (VIKOR) model [11][12][13]. Compared with these existing methods, the TODIM model, which is based on prospect theory (PT), [14] has the advantages of considering the subjectivity of decision maker's (DM's) behaviors and providing the dominance of each alternative over others with particular operation formulas, and can be more reasonable and scientific in the application of MAGDM problems.…”