Constructing interval-valued generalized partitioned Bonferroni mean operator with several extensions for MAGDM

Banerjee, Debasmita; Guha, Debatosh; Goh, Mark

doi:10.1007/s00521-020-04765-2

Cited by 6 publications

(1 citation statement)

References 61 publications

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“…Awang et al 29 proposed an interval-valued neutrosophic Shapley normalized weighted Bonferroni mean (INSNWBM) operator and explored the applicability of the INSNWBM in decision-making. Banerjee et al 30 introduced the generalized partitioned Bonferroni mean (GPBM) in an interval-valued fuzzy set based on the strict t-conorms additive generators. They developed the interval valued GPBM (IVGPBM) and the weighted IVGPBM (WIVGPBM) aggregation operators to study multi-attribute decision-making problems.…”

Section: Introductionmentioning

confidence: 99%

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

Nagarajan¹,

Kanchana²,

Kavikumar

et al. 2023

Sci Rep

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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.

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Section: Introductionmentioning

confidence: 99%

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

Nagarajan¹,

Kanchana²,

Kavikumar

et al. 2023

Sci Rep

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The likelihood-based optimization ordering model for multiple criteria group decision making with Pythagorean fuzzy uncertainty

Chen

2020

Neural Comput & Applic

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Stochastic-integration-based decision support methods for heterogeneous multi-attribute group decision making with several attribute sets

Zhang

et al. 2023

Expert Systems with Applications

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Constructing interval-valued generalized partitioned Bonferroni mean operator with several extensions for MAGDM

Cited by 6 publications

References 61 publications

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

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

The likelihood-based optimization ordering model for multiple criteria group decision making with Pythagorean fuzzy uncertainty

Stochastic-integration-based decision support methods for heterogeneous multi-attribute group decision making with several attribute sets

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