Todim Method For Single Valued Neutrosophic Multiple Attribute Decision Making


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TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making


TODIM Method for Single-Valued Neutrosophic Multiple Attribute Decision Making

Author: Dong-Sheng Xu

language: en

Publisher: Infinite Study

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Recently, the TODIM has been used to solve multiple attribute decision making (MADM) problems. The single-valued neutrosophic sets (SVNSs) are useful tools to depict the uncertainty of the MADM.

Interval valued neutrosophic sets and multi-attribute decision-making based on generalized weighted aggregation operator


Interval valued neutrosophic sets and multi-attribute decision-making based on generalized weighted aggregation operator

Author: Zhao Aiwu

language: en

Publisher: Infinite Study

Release Date:


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Neutrosophic sets are powerful logics designed to facilitate understanding of indeterminate and inconsistent information; many types of incomplete or complete information can be expressed as interval valued neutrosophic sets (IVNSs). This paper proposes improved aggregation operation rules for IVNSs, and extends the generalized weighted aggregation (GWA) operator to work congruently with IVNS data. The aggregated results are also expressed as IVNSs, which are characterized by truth membership degree, indeterminacy-membership degree, and falsity-membership degree. The proposed method is proved to be the maximum approximation to the original data, and maintains most of the information during data processing. Then, a method is proposed to determine the ranking orders for all alternatives according to their comparative advantage matrices based on their general score, degree of accuracy and degree of certainty expressed by the aggregated IVNSs. Finally, a numerical example is provided to illustrate the applicability and efficiency of the proposed approach.

Multi Attribute Neutrosophic Optimization Technique for Optimal Crop Selection in Ariyalur District


Multi Attribute Neutrosophic Optimization Technique for Optimal Crop Selection in Ariyalur District

Author: Angammal S.

language: en

Publisher: Infinite Study

Release Date: 2024-09-01


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Ranking crops is a vital part of sustainable farming practices. A deliberate strategy that incorporates multi-criteria decision-making is essential for achieving sustainability in agriculture. The process of choosing crops involves a lot of unknowns and unpredictable elements. The neutrosophic set, characterized by the three independent degrees of truth (T), falsity (F), and indeterminacy (I), is more adept at handling incomplete data. The current study combines single-valued multi-criteria neutrosophic programming with the TOPSIS approach to examine the crop selection process in the Ariyalur district. This study incorporated expert advice and a thorough literature analysis to identify the fundamental criteria for developing sustainable crop planning for important crops in the Ariyalur area. In order to rate the crops and achieve sustainability for agricultural production, eleven significant criteria were selected based on environmental, social, economic, and soil nutrient concerns. In this study, the relative importance of criteria and alternatives is assessed by consolidating the views of different decision-makers into a unified opinion through a single-valued neutrosophic set-based weighted averaging operator. The current approach will greatly enhance the self-sufficiency of the agricultural sector and boost the country’s GDP. Additionally, it will support the Ministry of Agriculture and other stakeholders in formulating regulations related to crop harvesting methods.