메뉴 건너뛰기




Volumn 157, Issue 1, 2006, Pages 1-19

Representability of binary relations through fuzzy numbers

Author keywords

Decision analysis; Fuzzy numbers; Preference modelling

Indexed keywords

BINARY SEQUENCES; DECISION THEORY; NUMBER THEORY;

EID: 27344443524     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2005.06.018     Document Type: Article
Times cited : (25)

References (51)
  • 1
    • 38249000353 scopus 로고
    • Interval choice: Classic and general cases
    • R. Agaev, and F. Aleskerov Interval choice: classic and general cases Math. Social Sci. 26 1993 249 272
    • (1993) Math. Social Sci. , vol.26 , pp. 249-272
    • Agaev, R.1    Aleskerov, F.2
  • 2
    • 0037399918 scopus 로고    scopus 로고
    • Topological interpretation of fuzzy sets and intervals
    • R.F. Albrecht Topological interpretation of fuzzy sets and intervals Fuzzy Sets and Systems 135 2003 11 20
    • (2003) Fuzzy Sets and Systems , vol.135 , pp. 11-20
    • Albrecht, R.F.1
  • 3
    • 0012945641 scopus 로고    scopus 로고
    • Characterization of the existence of semicontinuous weak utilities
    • J.C.R. Alcantud, and C. Rodríguez-Palmero Characterization of the existence of semicontinuous weak utilities J. Math. Econom. 32 1999 503 509
    • (1999) J. Math. Econom. , vol.32 , pp. 503-509
    • Alcantud, J.C.R.1    Rodríguez-Palmero, C.2
  • 4
    • 0020849266 scopus 로고
    • Maintaining knowledge about temporal intervals
    • J.F. Allen Maintaining knowledge about temporal intervals J. ACM 26 1983 832 843
    • (1983) J. ACM , vol.26 , pp. 832-843
    • Allen, J.F.1
  • 5
    • 0010213028 scopus 로고
    • A note on the theory of consumer's behavior
    • W.E. Armstrong A note on the theory of consumer's behavior Oxford Econom. Papers 2 1950 119 122
    • (1950) Oxford Econom. Papers , vol.2 , pp. 119-122
    • Armstrong, W.E.1
  • 8
    • 0036204540 scopus 로고    scopus 로고
    • The non-existence of a utility function and the structure of non-representable preference relations
    • A.F. Beardon, J.C. Candeal, G. Herden, E. Induráin, and G.B. Mehta The non-existence of a utility function and the structure of non-representable preference relations J. Math. Econom. 37 2002 17 38
    • (2002) J. Math. Econom. , vol.37 , pp. 17-38
    • Beardon, A.F.1    Candeal, J.C.2    Herden, G.3    Induráin, E.4    Mehta, G.B.5
  • 9
    • 0042357188 scopus 로고    scopus 로고
    • Interval-valued preference structures
    • T. Bilgiç Interval-valued preference structures European J. Oper. Res. 105 1998 162 183
    • (1998) European J. Oper. Res. , vol.105 , pp. 162-183
    • Bilgiç, T.1
  • 11
    • 0004190631 scopus 로고
    • third ed. American Mathematical Society Providence, RI
    • G. Birkhoff Lattice Theory third ed. 1967 American Mathematical Society Providence, RI
    • (1967) Lattice Theory
    • Birkhoff, G.1
  • 13
    • 17444401782 scopus 로고    scopus 로고
    • Existence of homogeneous representations of interval orders on a cone in a topological vector space
    • G. Bosi, J.C. Candeal, E. Induráin, and M. Zudaire Existence of homogeneous representations of interval orders on a cone in a topological vector space Soc. Choice Welf. 24 2005 45 61
    • (2005) Soc. Choice Welf. , vol.24 , pp. 45-61
    • Bosi, G.1    Candeal, J.C.2    Induráin, E.3    Zudaire, M.4
  • 14
    • 0043135729 scopus 로고
    • Representing preferences with nontransitive indifference by a single real-valued function
    • G. Bosi, and R. Isler Representing preferences with nontransitive indifference by a single real-valued function J. Math. Econom. 24 1995 621 631
    • (1995) J. Math. Econom. , vol.24 , pp. 621-631
    • Bosi, G.1    Isler, R.2
  • 15
    • 0001477488 scopus 로고
    • Numerical representations of intransitive preferences on a countable set
    • D.S. Bridges Numerical representations of intransitive preferences on a countable set J. Econom. Theory 30 1983 213 217
    • (1983) J. Econom. Theory , vol.30 , pp. 213-217
    • Bridges, D.S.1
  • 19
    • 34447604271 scopus 로고
    • Beiträge zur Begründung der transfinite Mengenlehre i
    • G. Cantor Beiträge zur Begründung der transfinite Mengenlehre I Math. Ann. 46 1895 481 512
    • (1895) Math. Ann. , vol.46 , pp. 481-512
    • Cantor, G.1
  • 20
    • 36549025418 scopus 로고
    • On realizable biorders and the biorder dimension of a relation
    • J.P. Doignon, A. Ducamp, and J.C. Falmagne On realizable biorders and the biorder dimension of a relation J. Math. Psych. 28 1984 73 109
    • (1984) J. Math. Psych. , vol.28 , pp. 73-109
    • Doignon, J.P.1    Ducamp, A.2    Falmagne, J.C.3
  • 22
    • 0003535772 scopus 로고
    • Allyn and Bacon Boston
    • J. Dugundji Topology 1966 Allyn and Bacon Boston
    • (1966) Topology
    • Dugundji, J.1
  • 24
    • 0000365128 scopus 로고
    • Intransitive indifference with unequal indifference intervals
    • P.C. Fishburn Intransitive indifference with unequal indifference intervals J. Math. Psych. 7 1970 144 149
    • (1970) J. Math. Psych. , vol.7 , pp. 144-149
    • Fishburn, P.C.1
  • 25
    • 0014761238 scopus 로고
    • Intransitive indifference in preference theory: A survey
    • P.C. Fishburn Intransitive indifference in preference theory: a survey Oper. Res. 18 2 1970 207 228
    • (1970) Oper. Res. , vol.18 , Issue.2 , pp. 207-228
    • Fishburn, P.C.1
  • 27
    • 0009063493 scopus 로고
    • Interval representations for interval orders and semiorders
    • P.C. Fishburn Interval representations for interval orders and semiorders J. Math. Psych. 10 1973 91 105
    • (1973) J. Math. Psych. , vol.10 , pp. 91-105
    • Fishburn, P.C.1
  • 28
    • 0001069157 scopus 로고
    • Lexicographic orders, utilities and decision rules: A survey
    • P.C. Fishburn Lexicographic orders, utilities and decision rules: a survey Management Sci. 20 11 1974 1442 1471
    • (1974) Management Sci. , vol.20 , Issue.11 , pp. 1442-1471
    • Fishburn, P.C.1
  • 30
    • 0000557028 scopus 로고    scopus 로고
    • Preference structures and their numerical representations
    • P.C. Fishburn Preference structures and their numerical representations Theoret. Comput. Sci. 217 1999 359 383
    • (1999) Theoret. Comput. Sci. , vol.217 , pp. 359-383
    • Fishburn, P.C.1
  • 32
    • 4544321678 scopus 로고    scopus 로고
    • The Debreu Gap Lemma and some generalizations
    • G. Herden, and G.B. Mehta The Debreu Gap Lemma and some generalizations J. Math. Econom. 40 7 2004 747 769
    • (2004) J. Math. Econom. , vol.40 , Issue.7 , pp. 747-769
    • Herden, G.1    Mehta, G.B.2
  • 36
    • 0008334851 scopus 로고
    • Measurable utility theorems for closed and lexicographic preference relations
    • V. Levin Measurable utility theorems for closed and lexicographic preference relations Soviet Math. Dokl. 27 1983 639 643
    • (1983) Soviet Math. Dokl. , vol.27 , pp. 639-643
    • Levin, V.1
  • 37
    • 0000382439 scopus 로고
    • Semiorders and a theory of utility discrimination
    • R.D. Luce Semiorders and a theory of utility discrimination Econometrica 24 1956 178 191
    • (1956) Econometrica , vol.24 , pp. 178-191
    • Luce, R.D.1
  • 38
    • 0003029086 scopus 로고    scopus 로고
    • Preference and utility
    • S. Barberà P. Hammond C. Seidl Kluwer Academic Publishers Dordrecht
    • G.B. Mehta Preference and utility S. Barberà P. Hammond C. Seidl Handbook of Utility Theory 1998 Kluwer Academic Publishers Dordrecht 1 47
    • (1998) Handbook of Utility Theory , pp. 1-47
    • Mehta, G.B.1
  • 39
    • 0037399671 scopus 로고    scopus 로고
    • Interval analysis and fuzzy set theory
    • R. Moore, and W. Lodwick Interval analysis and fuzzy set theory Fuzzy Sets and Systems 135 2003 5 9
    • (2003) Fuzzy Sets and Systems , vol.135 , pp. 5-9
    • Moore, R.1    Lodwick, W.2
  • 42
    • 0346046160 scopus 로고    scopus 로고
    • Satisfiability problems on intervals and unit intervals
    • I. Pe'er, and R. Shamir Satisfiability problems on intervals and unit intervals Theoret. Comput. Sci. 175 1997 349 372
    • (1997) Theoret. Comput. Sci. , vol.175 , pp. 349-372
    • Pe'Er, I.1    Shamir, R.2
  • 44
    • 0041632980 scopus 로고    scopus 로고
    • Kluwer Academic Publishers Dordrecht
    • M. Pirlot, and Ph. Vincke Semiorders 1997 Kluwer Academic Publishers Dordrecht
    • (1997) Semiorders
    • Pirlot, M.1    Vincke, Ph.2
  • 47
    • 0000120951 scopus 로고
    • The nontransitive consumer
    • W. Shafer The nontransitive consumer Econometrica 42 1974 913 919
    • (1974) Econometrica , vol.42 , pp. 913-919
    • Shafer, W.1
  • 48
    • 0009038156 scopus 로고
    • Some representation problems for semiorders
    • P. Swistak Some representation problems for semiorders J. Math. Psych. 21 2 1980 124 135
    • (1980) J. Math. Psych. , vol.21 , Issue.2 , pp. 124-135
    • Swistak, P.1
  • 49
    • 0037447365 scopus 로고    scopus 로고
    • A characterization of PQI interval orders
    • A. Tsoukiàs, and Ph. Vincke A characterization of PQI interval orders Discrete Appl. Math. 127 2003 387 397
    • (2003) Discrete Appl. Math. , vol.127 , pp. 387-397
    • Tsoukiàs, A.1    Vincke, Ph.2
  • 50
    • 58149412614 scopus 로고
    • Intransitivity of preferences
    • A. Tversky Intransitivity of preferences Psychological Rev. 76 1 1969 31 48
    • (1969) Psychological Rev. , vol.76 , Issue.1 , pp. 31-48
    • Tversky, A.1
  • 51
    • 0001140280 scopus 로고
    • Contribution to the theory of relative position
    • N. Wiener Contribution to the theory of relative position Proc. Cambridge Philos. Soc. 17 1914 441 449
    • (1914) Proc. Cambridge Philos. Soc. , vol.17 , pp. 441-449
    • Wiener, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.