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Upper and lower set formulas: restriction and modification of the Dempster-Pawlak formalism

Ismail Türkşen — 2002

International Journal of Applied Mathematics and Computer Science

A modification of Dempster's and Pawlak's constructs forms a new foundation for the identification of upper and lower sets formulas. Also, in this modified Dempster-Pawlak construct we require that subsets of the power set be restricted to the well-known information granules of the power set. An aggregation of upper information granules amongst each other and lower information granules amongst each other determine upper and lower set formulas for both crisp and fuzzy sets. The results are equivalent...

Supply Chain: crisp and fuzzy aspects

Mohammad Fazel ZarandiIsmail TürkşenSoroosh Saghiri — 2002

International Journal of Applied Mathematics and Computer Science

This survey presents crisp and fuzzy models developed for the Supply Chain (SC). To this end, fuzzy concepts are first briefly reviewed. Then the structure of a supply chain system is explained. Recent challenges and ideas on these systems are also surveyed. Then, with reference to different aspects of an SC system, we classify the recent fuzzy models developed for different SC systems and compare them with related crisp models. Applications of the SC in manufacturing and service industries are...

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