The Generalized Neutrosophic Cubic Aggregation Operators and Their Application to Multi-Expert Decision-Making Method

Abstract

In the modern world, the computation of vague data is a challenging job. Different theories are presented to deal with such situations. Amongst them, fuzzy set theory and its extensions produced remarkable results. Samrandache extended the theory to a new horizon with the neutrosophic set (NS), which was further extended to interval neutrosophic set (INS). Neutrosophic cubic set (NCS) is the generalized version of NS and INS. This characteristic makes it an exceptional choice to deal with vague and imprecise data. Aggregation operators are key features of decision-making theory. In recent times several aggregation operators were defined in NCS. The intent of this paper is to generalize these aggregation operators by presenting neutrosophic cubic generalized unified aggregation (NCGUA) and neutrosophic cubic quasi-generalized unified aggregation (NCQGUA) operators. The accuracy and precision are a vital tool to minimize the potential threat in decision making. Generally, in decision making methods, alternatives and criteria are considered to evaluate the better outcome. However, sometimes the decision making environment has more components to express the problem completely. These components are named as the state of nature corresponding to each criterion. This complex frame of work is dealt with by presenting the multi-expert decision-making method (MEDMM).

Comparative study between GRA and MEREC technique on an agricultural-based MCGDM problem in pentagonal neutrosophic environment

“…Qiyas et al (Qiyas et al 2022a ) utilised fuzzy credibility Dombi aggregation operators to clarify revised TOPSIS method. Khan et al (Khan et al 2020b ) utilised and generalised neutrosophic cubic aggregation operators in decision-making process.…”

Identification of the Best Sector for Multinatinal Companies Investment Using the Q-rung Double Hierarchy Linguistic Term Set Todim Approach

“…Gou et al [11] give the idea of a double hierarchy linguist term set (DHLTS). Decision-making is an art, and many researchers have worked on this aspect, see [12][13][14][15][16][17][18][19][20]. Di¤erent methods are introduced to solve the problems of (MADM), for example, TODIM, TOPSIS, CODAS, and VIKOR [21][22][23][24], etc.…”

Similarity and Pythagorean reliability measures of multivalued neutrosophic cubic set and its application to multiple‐criteria decision‐making

“…Therefore, NCS is more comprehensive and representative in practical applications, mainly focusing on two aspects of the related measures [23][24][25][26] and aggregation operators. [27][28][29][30][31][32][33] Considering further improvements of the NCS, [34][35][36][37] Ye 31 defined an algorithm and proposed some weighted aggregation operators for the NCS. Banerjee et al 37 introduced a gray relation analysis (GRA) method in the NCS environment.…”