메뉴 건너뛰기




Volumn 22, Issue 1, 2009, Pages 49-62

Minimizing a linear fractional function subject to a system of sup-T equations with a continuous Archimedean triangular norm

Author keywords

Fractional optimization; Fuzzy relational equations; Triangular norms

Indexed keywords

CLASSICAL SETS; CONSTRAINED OPTIMIZATION PROBLEMS; FRACTIONAL OPTIMIZATION; FUZZY RELATIONAL EQUATIONS; OBJECTIVE FUNCTIONS; OPTIMIZATION PROBLEMS; PARAMETRIZATION; POLYNOMIAL-TIME; TRIANGULAR NORMS;

EID: 60649096286     PISSN: 10096124     EISSN: 15597067     Source Type: Journal    
DOI: 10.1007/s11424-009-9146-x     Document Type: Article
Times cited : (19)

References (46)
  • 1
    • 0016900196 scopus 로고
    • Resolution of composite fuzzy relation equations
    • 1
    • E. Sanchez 1976 Resolution of composite fuzzy relation equations Information and Control 30 1 38 48
    • (1976) Information and Control , vol.30 , pp. 38-48
    • Sanchez, E.1
  • 2
    • 0000590820 scopus 로고
    • On the suitability of minimum and product operators for the intersection of fuzzy sets
    • 2
    • U. Thole H.-J. Zimmermann P. Zysno 1979 On the suitability of minimum and product operators for the intersection of fuzzy sets Fuzzy Sets and Systems 2 2 167 180
    • (1979) Fuzzy Sets and Systems , vol.2 , pp. 167-180
    • Thole, U.1    Zimmermann, H.-J.2    Zysno, P.3
  • 3
    • 13544263233 scopus 로고    scopus 로고
    • Fuzzy relation equations for coding/decoding processes of images and videos
    • 1-3
    • V. Loia S. Sessa 2005 Fuzzy relation equations for coding/decoding processes of images and videos Information Sciences 171 1-3 145 172
    • (2005) Information Sciences , vol.171 , pp. 145-172
    • Loia, V.1    Sessa, S.2
  • 5
    • 0019999523 scopus 로고
    • Some procedures for selecting fuzzy set-theoretic operators
    • 2
    • R. R. Yager 1982 Some procedures for selecting fuzzy set-theoretic operators International Journal General Systems 8 2 115 124
    • (1982) International Journal General Systems , vol.8 , pp. 115-124
    • Yager, R.R.1
  • 6
    • 11144286917 scopus 로고    scopus 로고
    • Fuzzy relation equations (I): The general and specialized solving algorithms
    • 6
    • L. Chen P. P. Wang 2002 Fuzzy relation equations (I): the general and specialized solving algorithms Soft Computing 6 6 428 435
    • (2002) Soft Computing , vol.6 , pp. 428-435
    • Chen, L.1    Wang, P.P.2
  • 7
    • 18444362435 scopus 로고    scopus 로고
    • On the relation between equations with max-product composition and the covering problem
    • 2
    • A. Markovskii 2005 On the relation between equations with max-product composition and the covering problem Fuzzy Sets and Systems 153 2 261 273
    • (2005) Fuzzy Sets and Systems , vol.153 , pp. 261-273
    • Markovskii, A.1
  • 11
    • 0002660549 scopus 로고
    • Processing in relational structures: Fuzzy relational equations
    • 1
    • W. Pedrycz 1991 Processing in relational structures: fuzzy relational equations Fuzzy Sets and Systems 40 1 77 106
    • (1991) Fuzzy Sets and Systems , vol.40 , pp. 77-106
    • Pedrycz, W.1
  • 13
    • 67349148503 scopus 로고    scopus 로고
    • A survey on fuzzy relational equations, Part I: Classification and solvability
    • submitted to
    • P. Li and S. C. Fang, A survey on fuzzy relational equations, Part I: classification and solvability, submitted to Fuzzy Optimization and Decision Making.
    • Fuzzy Optimization and Decision Making
    • Li, P.1    Fang, S.C.2
  • 14
    • 0001046583 scopus 로고    scopus 로고
    • Solving fuzzy relation equations with a linear objective function
    • 1
    • S. C. Fang G. Li 1999 Solving fuzzy relation equations with a linear objective function Fuzzy Sets and Systems 103 1 107 113
    • (1999) Fuzzy Sets and Systems , vol.103 , pp. 107-113
    • Fang, S.C.1    Li, G.2
  • 15
    • 0036684076 scopus 로고    scopus 로고
    • An accelerated approach for solving fuzzy relation equations with a linear objective function
    • 4
    • Y. K. Wu S. M. Guu J. Y. C. Liu 2002 An accelerated approach for solving fuzzy relation equations with a linear objective function IEEE Transactions on Fuzzy Systems 10 4 552 558
    • (2002) IEEE Transactions on Fuzzy Systems , vol.10 , pp. 552-558
    • Wu, Y.K.1    Guu, S.M.2    Liu, J.Y.C.3
  • 16
    • 11144331448 scopus 로고    scopus 로고
    • Minimizing a linear function under a fuzzy max-min relational equation constraint
    • 1
    • Y. K. Wu S. M. Guu 2005 Minimizing a linear function under a fuzzy max-min relational equation constraint Fuzzy Sets and Systems 150 1 147 162
    • (2005) Fuzzy Sets and Systems , vol.150 , pp. 147-162
    • Wu, Y.K.1    Guu, S.M.2
  • 17
    • 0035284131 scopus 로고    scopus 로고
    • Optimization of fuzzy relation equations with max-product composition
    • 3
    • J. Loetamonphong S. C. Fang 2001 Optimization of fuzzy relation equations with max-product composition Fuzzy Sets and Systems 118 3 509 517
    • (2001) Fuzzy Sets and Systems , vol.118 , pp. 509-517
    • Loetamonphong, J.1    Fang, S.C.2
  • 18
    • 3543122400 scopus 로고    scopus 로고
    • Minimizing a linear objective function with fuzzy relation equation constraints
    • 4
    • S. M. Guu Y. K. Wu 2002 Minimizing a linear objective function with fuzzy relation equation constraints Fuzzy Optimization and Decision Making 1 4 347 360
    • (2002) Fuzzy Optimization and Decision Making , vol.1 , pp. 347-360
    • Guu, S.M.1    Wu, Y.K.2
  • 19
    • 33746189351 scopus 로고    scopus 로고
    • An algorithm for optimizing the linear function with fuzzy relation equation constraints regarding max-prod composition
    • 2
    • A. Ghodousian E. Khorram 2006 An algorithm for optimizing the linear function with fuzzy relation equation constraints regarding max-prod composition Applied Mathematics and Computation 178 2 502 509
    • (2006) Applied Mathematics and Computation , vol.178 , pp. 502-509
    • Ghodousian, A.1    Khorram, E.2
  • 20
    • 4043096989 scopus 로고    scopus 로고
    • A note on fuzzy relation programming problems with max-strict-t-norm composition
    • 3
    • Y. K. Wu S. M. Guu 2004 A note on fuzzy relation programming problems with max-strict-t-norm composition Fuzzy Optimization and Decision Making 3 3 271 278
    • (2004) Fuzzy Optimization and Decision Making , vol.3 , pp. 271-278
    • Wu, Y.K.1    Guu, S.M.2
  • 21
    • 32644441544 scopus 로고    scopus 로고
    • Linear objective function optimization with fuzzy relation equation constraints regarding max-av composition
    • 2
    • E. Khorram A. Ghodousian 2006 Linear objective function optimization with fuzzy relation equation constraints regarding max-av composition Applied Mathematics and Computation 173 2 872 886
    • (2006) Applied Mathematics and Computation , vol.173 , pp. 872-886
    • Khorram, E.1    Ghodousian, A.2
  • 22
    • 34447307929 scopus 로고    scopus 로고
    • Optimization of fuzzy relational equations with max-av composition
    • 19
    • Y. K. Wu 2007 Optimization of fuzzy relational equations with max-av composition Information Sciences 177 19 4216 4229
    • (2007) Information Sciences , vol.177 , pp. 4216-4229
    • Wu, Y.K.1
  • 23
    • 39449088571 scopus 로고    scopus 로고
    • Another modification from two papers of Ghodousian and Khorram and khorram et al.
    • 2
    • A. Abbasi Molai E. Khorram 2008 Another modification from two papers of Ghodousian and Khorram and khorram et al. Applied Mathematics and Computation 197 2 559 565
    • (2008) Applied Mathematics and Computation , vol.197 , pp. 559-565
    • Abbasi Molai, A.1    Khorram, E.2
  • 24
    • 33644508089 scopus 로고    scopus 로고
    • An algorithm for solving optimization problems with one linear objective function and finitely many constraints of fuzzy relation inequalities
    • 1
    • F. F. Guo Z. Q. Xia 2006 An algorithm for solving optimization problems with one linear objective function and finitely many constraints of fuzzy relation inequalities Fuzzy Optimization and Decision Making 5 1 33 47
    • (2006) Fuzzy Optimization and Decision Making , vol.5 , pp. 33-47
    • Guo, F.F.1    Xia, Z.Q.2
  • 25
    • 37249037693 scopus 로고    scopus 로고
    • An algorithm for solving fuzzy relation equations with max-T composition operator
    • 5
    • A. Abbasi Molai E. Khorram 2008 An algorithm for solving fuzzy relation equations with max-T composition operator Information Sciences 178 5 1293 1308
    • (2008) Information Sciences , vol.178 , pp. 1293-1308
    • Abbasi Molai, A.1    Khorram, E.2
  • 26
    • 43949142756 scopus 로고    scopus 로고
    • On the resolution and optimization of a system of fuzzy relational equations with sup-T composition
    • 2
    • P. Li S. C. Fang 2008 On the resolution and optimization of a system of fuzzy relational equations with sup-T composition Fuzzy Optimization and Decision Making 7 2 169 214
    • (2008) Fuzzy Optimization and Decision Making , vol.7 , pp. 169-214
    • Li, P.1    Fang, S.C.2
  • 27
    • 0035314248 scopus 로고    scopus 로고
    • Solving nonlinear optimization problems with fuzzy relation equation constraints
    • 1
    • J. Lu S. C. Fang 2001 Solving nonlinear optimization problems with fuzzy relation equation constraints Fuzzy Sets and Systems 119 1 1 20
    • (2001) Fuzzy Sets and Systems , vol.119 , pp. 1-20
    • Lu, J.1    Fang, S.C.2
  • 28
    • 37249050971 scopus 로고    scopus 로고
    • Posynomial fuzzy relation geometric programming
    • (ed. by P. Melin, O. Castillo, L. T. Aguilar, J. Kacprzyk, and W. Pedrycz), Cancun, Mexico
    • J. H. Yang and B. Y. Cao, Posynomial fuzzy relation geometric programming, in Proceedings of the 12th International Fuzzy Systems Association World Congress (ed. by P. Melin, O. Castillo, L. T. Aguilar, J. Kacprzyk, and W. Pedrycz), Cancun, Mexico, 2007, 563-572.
    • (2007) Proceedings of the 12th International Fuzzy Systems Association World Congress , pp. 563-572
    • Yang, J.H.1    Cao, B.Y.2
  • 31
    • 84994971794 scopus 로고
    • A multi-objective mathematical programming problem with fuzzy relation constraints
    • 1
    • H. F. Wang 1995 A multi-objective mathematical programming problem with fuzzy relation constraints Journal of Multi-Criteria Decision Analysis 4 1 23 35
    • (1995) Journal of Multi-Criteria Decision Analysis , vol.4 , pp. 23-35
    • Wang, H.F.1
  • 32
    • 0037117666 scopus 로고    scopus 로고
    • Multi-objective optimization problems with fuzzy relation equation constraints
    • 2
    • J. Loetamonphong S. C. Fang R. Young 2002 Multi-objective optimization problems with fuzzy relation equation constraints Fuzzy Sets and Systems 127 2 141 164
    • (2002) Fuzzy Sets and Systems , vol.127 , pp. 141-164
    • Loetamonphong, J.1    Fang, S.C.2    Young, R.3
  • 33
    • 50249097708 scopus 로고    scopus 로고
    • Optimizing the linear fractional programming problem with max-Archimedean t-norm fuzzy relational equation constraints
    • London
    • Y. K. Wu, S. M. Guu, and J. Y. C. Liu, Optimizing the linear fractional programming problem with max-Archimedean t-norm fuzzy relational equation constraints, in Proceedings of the IEEE International Conference on Fuzzy Systems, London, 2007, 1-6.
    • (2007) Proceedings of the IEEE International Conference on Fuzzy Systems , pp. 1-6
    • Wu, Y.K.1    Guu, S.M.2    Liu, J.Y.C.3
  • 35
    • 0022054643 scopus 로고
    • On generalized fuzzy relational equations and their applications
    • 2
    • W. Pedrycz 1985 On generalized fuzzy relational equations and their applications Journal of Mathematical Analysis and Applications 107 2 520 536
    • (1985) Journal of Mathematical Analysis and Applications , vol.107 , pp. 520-536
    • Pedrycz, W.1
  • 36
    • 0035371744 scopus 로고    scopus 로고
    • Resolution of composite fuzzy relation equations based on Archimedean triangular norms
    • 3
    • G. B. Stamou S. G. Tzafestas 2001 Resolution of composite fuzzy relation equations based on Archimedean triangular norms Fuzzy Sets and Systems 120 3 395 407
    • (2001) Fuzzy Sets and Systems , vol.120 , pp. 395-407
    • Stamou, G.B.1    Tzafestas, S.G.2
  • 37
    • 0000076482 scopus 로고
    • Set partitioning: A survey
    • 4
    • E. Balas M. W. Padberg 1976 Set partitioning: a survey SIAM Review 18 4 710 760
    • (1976) SIAM Review , vol.18 , pp. 710-760
    • Balas, E.1    Padberg, M.W.2
  • 40
    • 0011908281 scopus 로고
    • On some properties of programming problems in parametric form pertaining to fractional programming
    • 7
    • R. Jagannathan 1966 On some properties of programming problems in parametric form pertaining to fractional programming Management Science 12 7 609 615
    • (1966) Management Science , vol.12 , pp. 609-615
    • Jagannathan, R.1
  • 41
    • 0000181889 scopus 로고
    • On nonlinear fractional programming
    • 7
    • W. Dinkelbach 1967 On nonlinear fractional programming Management Science 13 7 492 498
    • (1967) Management Science , vol.13 , pp. 492-498
    • Dinkelbach, W.1
  • 42
    • 0016943716 scopus 로고
    • Fractional programming. II, on Dinkelbach's algorithm
    • 8
    • S. Schaible 1976 Fractional programming. II, on Dinkelbach's algorithm Management Science 22 8 868 873
    • (1976) Management Science , vol.22 , pp. 868-873
    • Schaible, S.1
  • 43
    • 33750045684 scopus 로고    scopus 로고
    • Extensions of Dinkelbach's algorithm for solving non-linear fractional programming problems
    • 1
    • R. G. Ródenas M. L. López D. Verastegui 1999 Extensions of Dinkelbach's algorithm for solving non-linear fractional programming problems Top 7 1 33 70
    • (1999) Top , vol.7 , pp. 33-70
    • Ródenas, R.G.1    López, M.L.2    Verastegui, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.