Autor: |
Sourav Kumar Giri, Totan Garai, Sahidul Islam |
Jazyk: |
angličtina |
Rok vydání: |
2024 |
Předmět: |
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Zdroj: |
Franklin Open, Vol 8, Iss , Pp 100164- (2024) |
Druh dokumentu: |
article |
ISSN: |
2773-1863 |
DOI: |
10.1016/j.fraope.2024.100164 |
Popis: |
Decision makers often grapple with the complexity of multi-faceted real-life problems, where uncertainty arises from both positive and negative states of mind. This duality reflects the decision maker’s optimistic and pessimistic perspectives during the decision-making process. To address this, our paper introduces innovative concepts and frameworks for generalized bipolar trapezoidal fuzzy numbers. We propose novel arithmetic operations on these fuzzy numbers, computing the negative α-cut and positive β-cut methods. Furthermore, we uniquely compute the convex combination of expected values from both the positive and negative membership parts. These theoretical advancements are applied to a practical case study: a multi-item marketing planning inventory model with allowable shortages. Our proposed method’s efficacy is highlighted through detailed numerical illustrations, sensitivity analyses and comparative studies complemented by compelling graphical presentations |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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