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09.07.2020 | Methodologies and Application

Neutrosophic linear programming using possibilistic mean

verfasst von: Kiran Khatter

Erschienen in: Soft Computing | Ausgabe 22/2020

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Abstract

The paper discusses the concept of fuzzy set theory, interval-valued fuzzy set, intuitionistic fuzzy set, interval-valued intuitionistic fuzzy set, neutrosophic set and its operational laws. The paper presents the \( \alpha ,\beta ,\gamma \)-cut of single-valued triangular neutrosophic numbers and introduces the arithmetic operations of triangular neutrosophic numbers using \( \alpha ,\beta ,\gamma \)-cut. Then, possibilistic mean of truth membership function, indeterminacy membership function and falsity membership function is defined. The proposed approach converts each triangular neutrosophic number in linear programming problem to weighted value using possibilistic mean to determine the crisp linear programming problem. The proposed approach also considers the risk attitude of expert while deciding the parameters of linear programming model.

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Titel: Neutrosophic linear programming using possibilistic mean
verfasst von: Kiran Khatter
Publikationsdatum: 09.07.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 22/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-020-04980-y

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