메뉴 건너뛰기




Volumn 159, Issue 24, 2008, Pages 3347-3359

Reducing the search space of a linear fractional programming problem under fuzzy relational equations with max-Archimedean t-norm composition

Author keywords

Fuzzy relational equations; Linear fractional programming problem; Max Archimedean t norm composition

Indexed keywords

ERROR ANALYSIS; FUZZY SETS; LINEAR PROGRAMMING; OPTIMIZATION; SOLUTIONS;

EID: 53249133124     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2008.04.007     Document Type: Article
Times cited : (34)

References (29)
  • 1
    • 0000261286 scopus 로고
    • Programming with linear fractional functions
    • Charnes A., and Cooper W.W. Programming with linear fractional functions. Naval Res. Logist. Quart. 9 (1962) 181-186
    • (1962) Naval Res. Logist. Quart. , vol.9 , pp. 181-186
    • Charnes, A.1    Cooper, W.W.2
  • 2
    • 33747623558 scopus 로고    scopus 로고
    • Fuzzy relation equations (II): the branch-point-solutions and the categorized minimal solutions
    • Chen L., and Wang P.P. Fuzzy relation equations (II): the branch-point-solutions and the categorized minimal solutions. Soft Comput. 11 (2007) 33-40
    • (2007) Soft Comput. , vol.11 , pp. 33-40
    • Chen, L.1    Wang, P.P.2
  • 4
    • 53249106960 scopus 로고    scopus 로고
    • B. De Baets, Analytical solution methods for fuzzy relational equations, in: D. Dubois, H. Prade (Eds.), Fundamentals of Fuzzy Sets, The Handbooks of Fuzzy Sets Series, Vol. 1, Kluwer Academic Publishers, Boston, 2000, pp. 291-340 (Chapter 6).
    • B. De Baets, Analytical solution methods for fuzzy relational equations, in: D. Dubois, H. Prade (Eds.), Fundamentals of Fuzzy Sets, The Handbooks of Fuzzy Sets Series, Vol. 1, Kluwer Academic Publishers, Boston, 2000, pp. 291-340 (Chapter 6).
  • 6
    • 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
  • 7
    • 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 Optim. Decision Making 1 4 (2002) 347-360
    • (2002) Fuzzy Optim. Decision Making , vol.1 , Issue.4 , pp. 347-360
    • Guu, S.-M.1    Wu, Y.-K.2
  • 8
    • 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
  • 9
    • 0001544891 scopus 로고    scopus 로고
    • On Archimedean triangular norms
    • Jenei S. On Archimedean triangular norms. Fuzzy Sets and Systems 99 (1998) 179-186
    • (1998) Fuzzy Sets and Systems , vol.99 , pp. 179-186
    • Jenei, S.1
  • 10
    • 1342306693 scopus 로고    scopus 로고
    • Triangular norms. Position paper I: basic analytical and algebraic properties
    • Klement E.P., Mesiar R., and Pap E. Triangular norms. Position paper I: basic analytical and algebraic properties. Fuzzy Sets and Systems 143 (2004) 5-26
    • (2004) Fuzzy Sets and Systems , vol.143 , pp. 5-26
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 11
    • 2942689808 scopus 로고    scopus 로고
    • Triangular norms. Position paper II: general constructions and parameterized families
    • Klement E.P., Mesiar R., and Pap E. Triangular norms. Position paper II: general constructions and parameterized families. Fuzzy Sets and Systems 145 (2004) 411-438
    • (2004) Fuzzy Sets and Systems , vol.145 , pp. 411-438
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 12
    • 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 Trans. Fuzzy Systems 7 4 (1999) 441-445
    • (1999) IEEE Trans. Fuzzy Systems , vol.7 , Issue.4 , pp. 441-445
    • Loetamonphong, J.1    Fang, S.-C.2
  • 13
    • 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
  • 14
    • 13544263233 scopus 로고    scopus 로고
    • Fuzzy relation equations for coding/decoding processes of images and videos
    • Loia V., and Sessa S. Fuzzy relation equations for coding/decoding processes of images and videos. Inform. Sci. 171 (2005) 145-172
    • (2005) Inform. Sci. , vol.171 , pp. 145-172
    • Loia, V.1    Sessa, S.2
  • 15
    • 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
  • 16
    • 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
  • 17
    • 0000316125 scopus 로고
    • On the structure of semigroups on a compact manifold with boundary
    • Mostert P.S., and Shields A.L. On the structure of semigroups on a compact manifold with boundary. Ann. Math. 65 (1957) 117-143
    • (1957) Ann. Math. , vol.65 , pp. 117-143
    • Mostert, P.S.1    Shields, A.L.2
  • 18
    • 0034204784 scopus 로고    scopus 로고
    • Fast solving method of fuzzy relational equation and its application to lossy image compression/recompression
    • Nobuhara H., Pedrycz W., and Hirota K. Fast solving method of fuzzy relational equation and its application to lossy image compression/recompression. IEEE Trans. Fuzzy Systems 8 3 (2000) 325-334
    • (2000) IEEE Trans. Fuzzy Systems , vol.8 , Issue.3 , pp. 325-334
    • Nobuhara, H.1    Pedrycz, W.2    Hirota, K.3
  • 19
    • 0036458277 scopus 로고    scopus 로고
    • A digital watermarking algorithm using image compression method based on fuzzy relational equation
    • Nobuhara H., Pedrycz W., and Hirota K. A digital watermarking algorithm using image compression method based on fuzzy relational equation. Proc. IEEE Internat. Conf. on Fuzzy Systems (2002) 1568-1573
    • (2002) Proc. IEEE Internat. Conf. on Fuzzy Systems , pp. 1568-1573
    • Nobuhara, H.1    Pedrycz, W.2    Hirota, K.3
  • 20
    • 0022054643 scopus 로고
    • On generalized fuzzy relational equations and their applications
    • Pedrycz W. On generalized fuzzy relational equations and their applications. J. Math. Anal. Appl. 107 (1985) 520-536
    • (1985) J. Math. Anal. Appl. , vol.107 , pp. 520-536
    • Pedrycz, W.1
  • 21
    • 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
  • 22
    • 0016900196 scopus 로고
    • Resolution of composite fuzzy relation equations
    • Sanchez E. Resolution of composite fuzzy relation equations. Inform. and Control 30 (1976) 38-48
    • (1976) Inform. and Control , vol.30 , pp. 38-48
    • Sanchez, E.1
  • 23
    • 0035371744 scopus 로고    scopus 로고
    • Resolution of composite fuzzy relation equations based on Archimedean triangular norms
    • Stamou G.S., and Tzafestas S.G. Resolution of composite fuzzy relation equations based on Archimedean triangular norms. Fuzzy Sets and Systems 120 (2001) 395-407
    • (2001) Fuzzy Sets and Systems , vol.120 , pp. 395-407
    • Stamou, G.S.1    Tzafestas, S.G.2
  • 24
    • 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. J. Multi-Criteria Decision Anal. 4 (1995) 23-35
    • (1995) J. Multi-Criteria Decision Anal. , vol.4 , pp. 23-35
    • Wang, H.-F.1
  • 25
    • 0039784032 scopus 로고
    • Latticized linear programming and fuzzy relation inequalities
    • Wang P.Z., Zhang D.Z., Sanchez E., and Lee E.S. Latticized linear programming and fuzzy relation inequalities. J. Math. Anal. Appl. 159 (1991) 72-87
    • (1991) J. Math. Anal. Appl. , vol.159 , pp. 72-87
    • Wang, P.Z.1    Zhang, D.Z.2    Sanchez, E.3    Lee, E.S.4
  • 26
    • 3543137085 scopus 로고    scopus 로고
    • Solution sets of interval-valued fuzzy relational equations
    • Wang S., Fang S.-C., and Nuttle H.L.W. Solution sets of interval-valued fuzzy relational equations. Fuzzy Optim. Decision Making 2 1 (2003) 41-60
    • (2003) Fuzzy Optim. Decision Making , vol.2 , Issue.1 , pp. 41-60
    • Wang, S.1    Fang, S.-C.2    Nuttle, H.L.W.3
  • 27
    • 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 Optim. Decision Making 3 (2004) 271-278
    • (2004) Fuzzy Optim. Decision Making , vol.3 , pp. 271-278
    • Wu, Y.-K.1    Guu, S.-M.2
  • 28
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.