| Title of paper:
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An intuitionistic fuzzy goal programming approach to vector optimization problem
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| Author(s):
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| S. Pramanik
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| Department of Mathematics, Bengal Engineering and Science University, Shibpur, P.O.-B. Garden, District - Howrah, Pin Code - 711103, West Bengal, India
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| T. K. Roy
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| Department of Mathematics, Bengal Engineering and Science University, Shibpur, P.O.-B. Garden, District - Howrah, Pin Code - 711103, West Bengal, India
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| roy_t_kl@yahoo.co.in
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 11, 2005, Number 5, pages 1-14
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| Download:
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 PDF (4716 Kb, File info)
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| Abstract:
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This paper proposes an intuitionistic fuzzy goal programming (IFGP) approach for solving vector optimization problem under uncertainty. In the proposed approach, the degree of rejection and the degree of acceptance of the objectives are considered simultaneously. This approach is an application of the intuitionistic fuzzy (IF) set concept to optimization problems. It is shown that the proposed IFGP approach is more efficient than that the analogous fuzzy programming technique. To illustrate the effectiveness of the approach we have solved a numerical example and compared the solutions with the solution of the other approaches.
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| References:
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- P.P. Angellov, Optimization in an intuitionistic fuzzy environment, Fuzzy Sets and Systems, 86 (1997) 299 - 306.
- K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87 - 96.
- K. Atanassov, Ideas for intuitionistic fuzzy equations, Notes on Intuitionistic Fuzzy Sets and Systems, 1(1) (1995) 17-24.
- A.K. Bit, Unbalanced transportation problem with multiple fuzzy goals, Ricerca Operativa, 23 (1993)29-41
- A. Charnes and W.W. Cooper, Management Models and Industrial Applications of Linear Programming, Wiley, New Work, 1961.
- E.L. Hannan, On fuzzy goal programming, Decision Science, 12 (3) (1981), 522- 531.
- J. P. Ignizio, On the (RE) discovery of fuzzy goal programming, Decision Science, 13 (1982) 331-336.
- J.P. Ignizio, Goal Programming and Extensions, Lexington, Massachusetts, D. C. Health, 1976.
- Y. Iriji, Management Goals and Accounting for Control, North - Holland, Amsterdam, 1965.
- S.M. Lee, Goal programming for decision analysis, Auerbach Publishers, Philadelphia, 1972.
- R. H. Mohamed, The relationship between goal programming and fuzzy programming, Fuzzy Sets and Systems, 89 (1997) 215 - 222.
- R. Narasimhan, Goal programming in a fuzzy environment, Decision Sciences, 11 (1980), 325-336.
- C. Romero, Handbook of Critical Issues in Goal Programming, Pergamon Press, Oxford, 1991.
- S. Pramanik, T.K. Roy, A fuzzy goal programming approach for multi-objective capacitated transportation problem, Tamsui Oxford Journal of Management Sciences, Vol. 21(1) (accepted for publication)
- R.N. Tiwari, S. Dharma and J.R. Rao, Fuzzy goal programming- an additive model, Fuzzy Sets and Systems, 24 (1987) 27 - 34.
- L.A. Zadeh, Fuzzy Sets, Information and control, 8 (1965) 338 - 353.
- H.J. Zimmermann, Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, 1 (1978) 45-55.
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| Citations:
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