4.5 Article

A Study of a Backorder EOQ Model for Cloud-Type Intuitionistic Dense Fuzzy Demand Rate

Journal

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
Volume 22, Issue 1, Pages 201-211

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s40815-019-00756-1

Keywords

Backorder EOQ model; Intuitionistic dense fuzzy set; Nonlinearity of (non)membership grade; Score function; Optimization

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This paper deals with a backorder inventory problem under intuitionistic dense fuzzy environment. In fuzzy set theory, the concept of dense fuzzy set is quite new that depends upon the number of negotiations/turnovers made by the decision makers (DMs) of any kind of industrial setup. Moreover, we have discussed the preliminary concept on intuitionistic dense fuzzy set (IDFS) with their corresponding (non)membership functions and defuzzification methods. The graphical overview resembles the graphs obtained from a cloud aggregation model developed by Mao et al. in 2018. The basic difference is that they considered interval-valued hesitant fuzzy model with unsharp boundary but the content of present study is solely associated with nonrandom uncertainty having proper boundary. Finally, numerical examples, comparative study, sensitivity analysis, graphical illustration, and conclusion are made for justification of the new approach.

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