alphanumeric Alphanumeric Journal 2148-2225 Muhlis ÖZDEMİR 10.17093/alphanumeric.1492875 Quantitative Decision Methods Industrial Engineering Nicel Karar Yöntemleri Endüstri Mühendisliği Equal Surplus Sharing in Grey Inventory Games https://orcid.org/0000-0002-2110-738X Dönmez Halil İbrahim SÜLEYMAN DEMİREL ÜNİVERSİTESİ https://orcid.org/0000-0002-7568-3235 Olgun Mehmet Onur SÜLEYMAN DEMİREL ÜNİVERSİTESİ https://orcid.org/0000-0001-9435-0527 Alparslan Gök Sırma Zeynep SÜLEYMAN DEMİREL ÜNİVERSİTESİ 12 31 2024 12 3 215 226 05 31 2024 11 23 2024 Copyright © 2013, Alphanumeric Journal 2013 Alphanumeric Journal

This study introduces a model where inventory costs are represented as grey numbers, rather than traditional crisp or stochastic values. Utilizing grey calculus, we reinterpret game-theoretic solutions to address interval uncertainty within cooperative grey inventory games. Building on the works of van den Brink and Funaki (2009) and Olgun et al. (2017). We establish grey equal distribution rules for fair cost allocation.We determine problem parameters to construct a grey inventory game, applying it to three shotgun companies in Turkey. The calculated grey inventory costs and different game-theoretic solutions are presented. This study extends solutions like the Banzhaf value, CIS-value, ENSC- value, and ED- solution by incorporating interval uncertainty.Future research may explore extensions such as grey purchasing costs, stock out allowances, defective goods, and quantity discounts, enhancing the application of grey calculus in cooperative game theory and inventory management.

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