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A Study on Comparison between Fuzzy Assignment Problems Using Trapezoidal Fuzzy Numbers with Average Method


Affiliations
1 Department of Mathematics, R.K.M. Vivekananda College, Chennai-600 005, India
2 Department of Mathematics, A.M. Jain College, Chennai-600 114, India
 

Assignment problem is very often used in solving problems of engineering and management science. In this paper, trapezoidal fuzzy numbers are considered which are more realistic and general in nature. The fuzzy assignment problem has been transformed into crisp assignment problem in the LPP form solved by using LINGO 9.0 and the results were compared with average method. Subject classification: Fuzzy Logic- 03B52

Keywords

Fuzzy Sets, Fuzzy Numbers, Fuzzy Assignment Problem, Fuzzy Ranking, Hungerian Method
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  • Chanas S and Kuchta D (1996) A concept of the optimal solution of the transportation problem with fuzzy cost coefficients. Fuzzy Sets & System. 82, 299- 305.
  • Chanas S and Kuchta D (1998) Fuzzy integer transportation problem. Fuzzy Sets & System. 98, 291-298.
  • Chanas S, Kolodziejczyk W and Machaj A (1984) A fuzzy approach to the transportation problem. Fuzzy Sets & System. 13, 211-221.
  • Chen CB and Klein CM (1997) A simple approach to ranking a group of aggregated fuzzy utilities IEEE Trans Syst., Man, Cybern. B. 27, 26-35.
  • Chen MS (1985) On a fuzzy assignment problem. Tamkang J 22, 407-411.
  • Chi-Jen Lin and Ue-Pyng Wen (2004) A labeling algorithm for the fuzzy assignment problem. Fuzzy Sets. Sys. 142, 373-391.
  • Dubois D and Fortemps P (1999) Computing improved optimal solutions to max-min flexible constraint satisfaction problems. Euro. J. Oper. Res. 118, 95- 126.
  • Fortemps P and Roubens M (1996) Ranking and defuzzification methods based on area compensation. Fuzzy Sets & System. 82, 319-330.
  • Klir GJ and Yuan B (1995) Fuzzy sets and fuzzy logic (Theory and applications). Prentice-Hall, International Inc.
  • Ohl igeartaigh (1982) A fuzzy transportation algorithm. Fuzzy Sets & Fuzzy Systems. 8, 235-243.
  • Sakawa M, Nishizaki I and Uemura Y (2001) Interactive fuzzy programming for two level linear and linear fractional production and assignment problems; a case study. Eur. J. Operations Res.135, 142-157
  • Tada M and Ishii H (1996) An integer fuzzy transportation problem. Comput. Math. 31, 71-87.
  • Wang X (1987) Fuzzy optimal assignment problem.
  • Yager RR (1981) A procedure for ordering fuzzy subsets of the unit interval. Info. Sci. 24, 143-161
  • Zadeh LA (1965) Fuzzy sets. Information & Control. 8, 338-353.
  • Zadeh LA (1975) (1976) The concept of a linguistic variable and its application to approximate reasoning. Information Sciences, part 1,2 & 3. Vol.8, pp:199-249; Vol.9, pp:43-58.

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  • A Study on Comparison between Fuzzy Assignment Problems Using Trapezoidal Fuzzy Numbers with Average Method

Abstract Views: 566  |  PDF Views: 123

Authors

S. Manimaran
Department of Mathematics, R.K.M. Vivekananda College, Chennai-600 005, India
M. Ananthanarayanan
Department of Mathematics, A.M. Jain College, Chennai-600 114, India

Abstract


Assignment problem is very often used in solving problems of engineering and management science. In this paper, trapezoidal fuzzy numbers are considered which are more realistic and general in nature. The fuzzy assignment problem has been transformed into crisp assignment problem in the LPP form solved by using LINGO 9.0 and the results were compared with average method. Subject classification: Fuzzy Logic- 03B52

Keywords


Fuzzy Sets, Fuzzy Numbers, Fuzzy Assignment Problem, Fuzzy Ranking, Hungerian Method

References





DOI: https://doi.org/10.17485/ijst%2F2012%2Fv5i4%2F30432