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Granular Computing

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11.12.2017 | Original Paper

Possibility–necessity–credibility measures on generalized intuitionistic fuzzy number and their applications to multi-product manufacturing system

verfasst von: Totan Garai, Dipankar Chakraborty, Tapan Kumar Roy

Erschienen in: Granular Computing | Ausgabe 4/2018

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Abstract

As a special intuitionistic fuzzy set on a real number set, intuitionistic fuzzy numbers (IFNs) have the best capability to model ill-known quantities. The purpose of this paper is to investigate generalized intuitionistic fuzzy numbers (GIFNs). The weighted possibility, necessity and credibility measures of generalized trapezoidal intuitionistic fuzzy numbers (GTIFN) are introduced, and expected value of GTIFN has been formulated. By employing the possibility and necessity measures of GIFN, the single period multi-product manufacturing generalized intuitionistic fuzzy inventory models is transformed into an equivalent deterministic problem. The transformed problem has been solved by soft computing technique. Finally, the proposed method is illustrated with one numerical example.

Vorheriger Artikel A fuzzy compromise programming model based on the modified S-curve membership functions for supplier selection

Nächster Artikel A unified method of defuzzification for type-2 fuzzy numbers with its application to multiobjective decision making

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Titel: Possibility–necessity–credibility measures on generalized intuitionistic fuzzy number and their applications to multi-product manufacturing system
verfasst von: Totan Garai
Dipankar Chakraborty
Tapan Kumar Roy
Publikationsdatum: 11.12.2017
Verlag: Springer International Publishing
Erschienen in: Granular Computing / Ausgabe 4/2018
Print ISSN: 2364-4966
Elektronische ISSN: 2364-4974
DOI: https://doi.org/10.1007/s41066-017-0067-0

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