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Volumn 47, Issue 3-4, 2008, Pages 352-362

Optimizing the geometric programming problem with single-term exponents subject to max-min fuzzy relational equation constraints

Author keywords

Fuzzy optimization; Fuzzy relational equations; Geometric programming; Max min composition

Indexed keywords

CONSTRAINT THEORY; FUZZY RULES; OPTIMIZATION; PROBLEM SOLVING;

EID: 38149136474     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2007.04.010     Document Type: Article
Times cited : (35)

References (23)
  • 1
    • 11144286917 scopus 로고    scopus 로고
    • Fuzzy relation equations (I): The general and specialized solving algorithms
    • Chen L., and Wang P.P. Fuzzy relation equations (I): The general and specialized solving algorithms. Soft Computing 6 (2002) 428-435
    • (2002) Soft Computing , vol.6 , pp. 428-435
    • Chen, L.1    Wang, P.P.2
  • 4
    • 0013176975 scopus 로고
    • Fuzzy relation equations theory as a basis of fuzzy modeling: An overview
    • Di Nola A., Sessa S., Pedrycz W., and Sanchez E. Fuzzy relation equations theory as a basis of fuzzy modeling: An overview. Fuzzy Sets and Systems 40 (1991) 415-429
    • (1991) Fuzzy Sets and Systems , vol.40 , pp. 415-429
    • Di Nola, A.1    Sessa, S.2    Pedrycz, W.3    Sanchez, E.4
  • 5
    • 0001046583 scopus 로고    scopus 로고
    • Solving fuzzy relation equations with a linear objective function
    • Fang S.-C., and Li G. Solving fuzzy relation equations with a linear objective function. Fuzzy Sets and Systems 103 (1999) 107-113
    • (1999) Fuzzy Sets and Systems , vol.103 , pp. 107-113
    • Fang, S.-C.1    Li, G.2
  • 6
    • 0026137347 scopus 로고
    • Design of fuzzy logic controllers based on generalized T-operators
    • Gupta M.M., and Qi J. Design of fuzzy logic controllers based on generalized T-operators. Fuzzy Sets and Systems 40 (1991) 473-489
    • (1991) Fuzzy Sets and Systems , vol.40 , pp. 473-489
    • Gupta, M.M.1    Qi, J.2
  • 7
    • 0000652239 scopus 로고
    • Theory of T-norms and fuzzy inference
    • Gupta M.M., and Qi J. Theory of T-norms and fuzzy inference. Fuzzy Sets and Systems 40 (1991) 431-450
    • (1991) Fuzzy Sets and Systems , vol.40 , pp. 431-450
    • Gupta, M.M.1    Qi, J.2
  • 8
    • 3543122400 scopus 로고    scopus 로고
    • Minimizing a linear objective function with fuzzy relation equation constraints
    • Guu S.-M., and Wu Y.-K. Minimizing a linear objective function with fuzzy relation equation constraints. Fuzzy Optimization and Decision Making 1 4 (2002) 347-360
    • (2002) Fuzzy Optimization and Decision Making , vol.1 , Issue.4 , pp. 347-360
    • Guu, S.-M.1    Wu, Y.-K.2
  • 9
    • 0021422683 scopus 로고
    • Resolution of finite fuzzy relation equations
    • Higashi M., and Klir G.J. Resolution of finite fuzzy relation equations. Fuzzy Sets and Systems 13 (1984) 65-82
    • (1984) Fuzzy Sets and Systems , vol.13 , pp. 65-82
    • Higashi, M.1    Klir, G.J.2
  • 10
    • 0032595167 scopus 로고    scopus 로고
    • An efficient solution procedure for fuzzy relational equations with max-product composition
    • Loetamonphong J., and Fang S.-C. An efficient solution procedure for fuzzy relational equations with max-product composition. IEEE Transactions on Fuzzy Systems 7 4 (1999) 441-445
    • (1999) IEEE Transactions on Fuzzy Systems , vol.7 , Issue.4 , pp. 441-445
    • Loetamonphong, J.1    Fang, S.-C.2
  • 11
    • 0037117666 scopus 로고    scopus 로고
    • Multi-objective optimization problems with fuzzy relation equation constraints
    • Loetamonphong J., Fang S.-C., and Young R.E. Multi-objective optimization problems with fuzzy relation equation constraints. Fuzzy Sets and Systems 127 (2002) 141-164
    • (2002) Fuzzy Sets and Systems , vol.127 , pp. 141-164
    • Loetamonphong, J.1    Fang, S.-C.2    Young, R.E.3
  • 12
    • 0035314248 scopus 로고    scopus 로고
    • Solving nonlinear optimization problems with fuzzy relation equations constraints
    • Lu J., and Fang S.-C. Solving nonlinear optimization problems with fuzzy relation equations constraints. Fuzzy Sets and Systems 119 (2001) 1-20
    • (2001) Fuzzy Sets and Systems , vol.119 , pp. 1-20
    • Lu, J.1    Fang, S.-C.2
  • 13
    • 18444362435 scopus 로고    scopus 로고
    • On the relation between equations with max-product composition and the covering problem
    • Markovskii A.V. On the relation between equations with max-product composition and the covering problem. Fuzzy Sets and Systems 153 (2005) 261-273
    • (2005) Fuzzy Sets and Systems , vol.153 , pp. 261-273
    • Markovskii, A.V.1
  • 14
    • 38149043698 scopus 로고
    • Systems of fuzzy equations and inequalities for fuzzy optimization
    • Delgado M., Kacprzky J., Verdegay J.L., and Vila M.A. (Eds), Physica-Verlag, New York
    • Peeva K. Systems of fuzzy equations and inequalities for fuzzy optimization. In: Delgado M., Kacprzky J., Verdegay J.L., and Vila M.A. (Eds). Fuzzy Optimization, Recent Advances (1994), Physica-Verlag, New York 83-101
    • (1994) Fuzzy Optimization, Recent Advances , pp. 83-101
    • Peeva, K.1
  • 15
    • 0022054643 scopus 로고
    • On generalized fuzzy relational equations and their applications
    • Pedrycz W. On generalized fuzzy relational equations and their applications. Journal of Mathematical Analysis and Applications 107 (1985) 520-536
    • (1985) Journal of Mathematical Analysis and Applications , vol.107 , pp. 520-536
    • Pedrycz, W.1
  • 16
    • 0348192487 scopus 로고
    • s - t fuzzy relational equations
    • Pedrycz W. s - t fuzzy relational equations. Fuzzy Sets and Systems 59 (1993) 189-195
    • (1993) Fuzzy Sets and Systems , vol.59 , pp. 189-195
    • Pedrycz, W.1
  • 17
    • 0016900196 scopus 로고
    • Resolution of composite fuzzy relation equations
    • Sanchez E. Resolution of composite fuzzy relation equations. Information and Control 30 (1976) 38-48
    • (1976) Information and Control , vol.30 , pp. 38-48
    • Sanchez, E.1
  • 18
    • 84994971794 scopus 로고
    • A multi-objective mathematical programming problem with fuzzy relation constraints
    • Wang H.-F. A multi-objective mathematical programming problem with fuzzy relation constraints. Journal of Multi-Criteria Decision Analysis 4 (1995) 23-35
    • (1995) Journal of Multi-Criteria Decision Analysis , vol.4 , pp. 23-35
    • Wang, H.-F.1
  • 21
    • 4043096989 scopus 로고    scopus 로고
    • A note on fuzzy relation programming problems with max-strict-t-norm composition
    • Wu Y.-K., and Guu S.-M. A note on fuzzy relation programming problems with max-strict-t-norm composition. Fuzzy Optimization and Decision Making 3 (2004) 271-278
    • (2004) Fuzzy Optimization and Decision Making , vol.3 , pp. 271-278
    • Wu, Y.-K.1    Guu, S.-M.2
  • 22
    • 11144331448 scopus 로고    scopus 로고
    • Minimizing a linear function under a fuzzy max-min relational equation constraint
    • Wu Y.-K., and Guu S.-M. Minimizing a linear function under a fuzzy max-min relational equation constraint. Fuzzy Sets and Systems 150 (2005) 147-162
    • (2005) Fuzzy Sets and Systems , vol.150 , pp. 147-162
    • Wu, Y.-K.1    Guu, S.-M.2
  • 23
    • 23944508842 scopus 로고    scopus 로고
    • J.-H. Yang, B.-Y. Cao, Geometric programming with fuzzy relation equation constraints, in: Proceedings of IEEE International Conference on Fuzzy Systems, 2005, pp. 557-560


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.