A novel approach based on neutrosophic Bonferroni mean operator of trapezoidal and triangular neutrosophic interval environments in multi-attribute group decision making

Abstract

Neutrosophic multicriteria is a method of decision-making that uses indeterminacy to combine several criteria or elements, frequently with incomplete or ambiguous information, to find a solution. The neutrosophic multicriteria analysis enables the assessment of qualitative and subjective aspects and can assist in resolving conflicting goals and preferences. In the Neutrosophic Multi-Attribute Group Decision Making (NMAGDM) problems, all the information provided by the decision makers (DMs) is expressed as single value neutrosophic triangular and trapezoidal numbers examined in this study which can provide more flexibility and accuracy in capturing uncertainty and aggregating preferences. We offer a novel approach for determining the neutrosophic possibility degree of two and three trapezoidal and triangular neutrosophic sets and the concepts of neutrosophic possibility mean value. The trapezoidal and triangular neutrosophic Bonferroni mean (TITRNBM) operator and the trapezoidal and triangular neutrosophic weighted Bonferroni mean (TITRNWBM) operator are two aggregation methods we then create. Further, we examine the TITRNBM and TITRNWBM attributes and their uniqueness. The NMAGDM approach with trapezoidal and triangular information is suggested based on the TITRNWBM operator and possibility degree. Finally, a concrete example of manufacturing companies searching for the best supplier for assembling the critical parts is provided to validate the established strategies and show their practical applicability and efficacy.

Sustainability evaluation of sports tourism using a linguistic neutrosophic multi-criteria decision-making method

“…For example, Fang and Ye [ 34 ] defined the linguistic neutrosophic weighted arithmetic averaging (LNWAA) operator and linguistic neutrosophic weighted geometric averaging (LNWGA) operator; Liu and You [ 45 ] studied some linguistic neutrosophic Hamy mean operators; Fan et al [ 46 ] put forward the linguistic neutrosophic normalized weighted Bonferroni mean (LNNWBM) operator and linguistic neutrosophic normalized weighted geometric Bonferroni mean (LNNWGBM) operator; Liang et al [ 47 ] came up with the idea of the linguistic neutrosophic improved weighted Heronian mean (LNIWHM) operator and linguistic neutrosophic improved geometric weighted Heronian mean (LNIGWHM) operator; Luo et al [ 48 ] developed the linguistic neutrosophic Maclaurin symmetric mean (LNMSM) operators to cope with performance evaluation of human resources; and Li et al [ 49 ] considered the weight Muirhead Mean operators to allocate reliability indicators in engineering fields. Among them, both the Bonferroni mean and Heronian mean operators can convey the correlations of evaluation indexes [ 50 ]. This is a desired nature, especially for the performance evaluation problems.…”

Group decision making in the analytic hierarchy process by hesitant fuzzy numbers

“…Afzal et al proposed a neutrosophic statistical approach for the analysis of resistance of conducting material depending on the temperature variance 31 . Nagarajan et al introduced a novel approach based on neutrosophic Bonferroni mean operator of trapezoidal and triangular neutrosophic interval environments in multi-attribute group decision making 32 .…”