Fuzzy capital rationing model

  • Authors:
  • E. Bas;C. Kahraman

  • Affiliations:
  • Department of Industrial Engineering, Istanbul Technical University, Macka 34367, Istanbul, Turkey;Department of Industrial Engineering, Istanbul Technical University, Macka 34367, Istanbul, Turkey

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2009

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Abstract

In this paper, we study the fuzzification of Weingartner's pure capital rationing model and its analysis. We develop a primal-dual pair based on t-norm/t-conorm relation for the constraints and objective function for a fully fuzzified pure capital rationing problem except project selection variables. We define the @a-interval under which the weak duality is proved. We perform sensitivity analysis for a change in a budget level or in a cash flow level of a non-basic as well as a basic variable. We analyze the problem based on duality and complementary slackness results. We illustrate the proposed model by computational analysis, and interpret the results.