Article: Solving an EOQ model for stock, selling price and customer's income dependent demand under dense lock fuzzy environment Journal: International Journal of Mathematics in Operational Research (IJMOR) 2026 Vol.34 No.1 pp.1 - 23 Abstract: In this paper, we have developed an economic order quantity (EOQ) model for degrading items in which two decision-makers collaborate to make decision, one of them acting as the industrialist (developer) and the other as the accountable manager. Although, customers' income might create a vital impact on the demand rate of the products. But none of the researchers took it into account for their model. In this study, the demand rate is considered as a function of selling price, stock, and customers' income and later it has been fuzzified. The problem is solved by using dense lock fuzzy environment. The notion of a dense fuzzy set, which depends on number of turnovers made at industrial process. Additionally, we have covered the basic idea of dense lock fuzzy sets along with the relevant membership functions and defuzzification techniques via solution algorithm. Numerical outputs reveals that the joint decision-makers provide the objective function finer optimum. To support the new approach, a thoughtful analysis, a graphical representation, and a conclusion are provided. Inderscience Publishers - linking academia, business and industry through research

Title: Solving an EOQ model for stock, selling price and customer's income dependent demand under dense lock fuzzy environment

Authors: Suman Maity; Sujit Kumar De; Madhumangal Pal; Sankar Prasad Mondal

Addresses: Department of Mathematics, Raja N.L. Khan Women's College (Autonomous), Paschim Medinipur – 721102, WB, India; Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Paschim Medinipur – 721102, WB, India ' Department of Mathematics, Midnapore College (Autonomous), Paschim Medinipur – 721101, WB, India ' Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Paschim Medinipur – 721102, WB, India ' Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata 741249, Nadia, West Bengal, India

Abstract: In this paper, we have developed an economic order quantity (EOQ) model for degrading items in which two decision-makers collaborate to make decision, one of them acting as the industrialist (developer) and the other as the accountable manager. Although, customers' income might create a vital impact on the demand rate of the products. But none of the researchers took it into account for their model. In this study, the demand rate is considered as a function of selling price, stock, and customers' income and later it has been fuzzified. The problem is solved by using dense lock fuzzy environment. The notion of a dense fuzzy set, which depends on number of turnovers made at industrial process. Additionally, we have covered the basic idea of dense lock fuzzy sets along with the relevant membership functions and defuzzification techniques via solution algorithm. Numerical outputs reveals that the joint decision-makers provide the objective function finer optimum. To support the new approach, a thoughtful analysis, a graphical representation, and a conclusion are provided.

Keywords: EOQ model; deteriorating items; dense lock fuzzy set; defuzzification; optimisation.

DOI: 10.1504/IJMOR.2026.153575

International Journal of Mathematics in Operational Research, 2026 Vol.34 No.1, pp.1 - 23

Received: 19 Apr 2024
Accepted: 08 May 2024
Published online: 18 May 2026 *

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Title: Solving an EOQ model for stock, selling price and customer's income dependent demand under dense lock fuzzy environment

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