메뉴 건너뛰기




Volumn , Issue , 2009, Pages 143-148

Approximations by interval, triangular and trapezoidal fuzzy numbers

Author keywords

Hilbert space; Triangular fuzzy number; Weighted trapezoidal approximation

Indexed keywords

BEST APPROXIMATIONS; EUCLIDEAN DISTANCE; FUZZY NUMBERS; NON-EUCLIDEAN DISTANCE; REDUCTION PRINCIPLE; TRAPEZOIDAL FUZZY NUMBERS; TRIANGULAR FUZZY NUMBERS; WEIGHTED APPROXIMATION; WEIGHTED EUCLIDEAN DISTANCE; WEIGHTED TRAPEZOIDAL APPROXIMATION;

EID: 80053067732     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (6)

References (23)
  • 1
    • 3943057489 scopus 로고    scopus 로고
    • The nearest trapezoidal fuzzy number to a fuzzy quantity
    • S. Abbasbandy and B. Asady, The nearest trapezoidal fuzzy number to a fuzzy quantity, Applied Mathematics and Computation 156(2004) 381-386.
    • (2004) Applied Mathematics and Computation , vol.156 , pp. 381-386
    • Abbasbandy, S.1    Asady, B.2
  • 3
    • 31144465223 scopus 로고    scopus 로고
    • The nearest approximation of a fuzzy quantity in parametric form
    • S. Abbasbandy and M. Amirfakhrian, The nearest approximation of a fuzzy quantity in parametric form, Applied Mathematics and Computation 172(2006) 624-632.
    • (2006) Applied Mathematics and Computation , vol.172 , pp. 624-632
    • Abbasbandy, S.1    Amirfakhrian, M.2
  • 4
    • 33846799090 scopus 로고    scopus 로고
    • Note on "Trapezoidal approximation of fuzzy numbers"
    • T. Allahviranloo and M.A. Firozja, Note on "Trapezoidal approximation of fuzzy numbers", Fuzzy Sets and Systems 158(2007) 747-754.
    • (2007) Fuzzy Sets and Systems , vol.158 , pp. 747-754
    • Allahviranloo, T.1    Firozja, M.A.2
  • 5
    • 41549111462 scopus 로고    scopus 로고
    • Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval
    • A. Ban, Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval, Fuzzy Sets and Systems, 159(2008) 1327-1344.
    • (2008) Fuzzy Sets and Systems , vol.159 , pp. 1327-1344
    • Ban, A.1
  • 6
    • 0035885536 scopus 로고    scopus 로고
    • On the interval approximation of a fuzzy number
    • S. Chanas, On the interval approximation of a fuzzy number, Fuzzy Sets and Systems 122(2001) 353-356.
    • (2001) Fuzzy Sets and Systems , vol.122 , pp. 353-356
    • Chanas, S.1
  • 7
  • 9
    • 0023548442 scopus 로고
    • The mean value of a fuzzy number
    • D. Dubois and H. Prade, The mean value of a fuzzy number, Fuzzy Sets and Systems 24(1987) 279-300.
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 279-300
    • Dubois, D.1    Prade, H.2
  • 10
    • 0002133918 scopus 로고    scopus 로고
    • Metrics and orders in space of fuzzy numbers
    • P. Grzegorzewski, Metrics and orders in space of fuzzy numbers, Fuzzy Sets and Systems 97(1998) 83-94.
    • (1998) Fuzzy Sets and Systems , vol.97 , pp. 83-94
    • Grzegorzewski, P.1
  • 11
    • 0037119865 scopus 로고    scopus 로고
    • Nearest interval approximation of a fuzzy number
    • P. Grzegorzewski, Nearest interval approximation of a fuzzy number, Fuzzy Sets and Systems 130(2002) 321-330.
    • (2002) Fuzzy Sets and Systems , vol.130 , pp. 321-330
    • Grzegorzewski, P.1
  • 12
    • 18144379905 scopus 로고    scopus 로고
    • Trapezoidal approximations of fuzzy numbers
    • P. Grzegorzewski and E. Mrówka, Trapezoidal approximations of fuzzy numbers, Fuzzy Sets and Systems 153(2005) 115-135.
    • (2005) Fuzzy Sets and Systems , vol.153 , pp. 115-135
    • Grzegorzewski, P.1    Mrówka, E.2
  • 13
    • 33846809061 scopus 로고    scopus 로고
    • Trapezoidal approximations of fuzzy numbers-revisited
    • P. Grzegorzewski and E. Mrówka, Trapezoidal approximations of fuzzy numbers-revisited, Fuzzy Sets and Systems 158(2007) 757-768.
    • (2007) Fuzzy Sets and Systems , vol.158 , pp. 757-768
    • Grzegorzewski, P.1    Mrówka, E.2
  • 14
    • 41549152052 scopus 로고    scopus 로고
    • Trapezoidal approximations of fuzzy numbers preserving the expected interval - Algorithms and properties
    • P. Grzegorzewski and E. Mrówka, Trapezoidal approximations of fuzzy numbers preserving the expected interval - algorithms and properties, Fuzzy Sets and Systems, 159(2008) 1354-1364.
    • (2008) Fuzzy Sets and Systems , vol.159 , pp. 1354-1364
    • Grzegorzewski, P.1    Mrówka, E.2
  • 15
    • 28044443868 scopus 로고    scopus 로고
    • Approximation properties of piece-wise parabolic functions fuzzy logic systems
    • R. Hassine, F. Karray, A.M. Alimi and M. Selmi, Approximation properties of piece-wise parabolic functions fuzzy logic systems, Fuzzy Sets and Systems 157(2006) 501-515.
    • (2006) Fuzzy Sets and Systems , vol.157 , pp. 501-515
    • Hassine, R.1    Karray, F.2    Alimi, A.M.3    Selmi, M.4
  • 16
    • 38249012102 scopus 로고
    • The expected value of a fuzzy number
    • S. Heilpern, The expected value of a fuzzy number, Fuzzy Sets and Systems 47(1992) 81-86.
    • (1992) Fuzzy Sets and Systems , vol.47 , pp. 81-86
    • Heilpern, S.1
  • 17
    • 0012777173 scopus 로고
    • Integration des applications measurables dont la valeur est un compact convexe
    • M. Hukuhara, Integration des applications measurables dont la valeur est un compact convexe, Funkcialaj Ekvacioj 10(1967) 205-223.
    • (1967) Funkcialaj Ekvacioj , vol.10 , pp. 205-223
    • Hukuhara, M.1
  • 19
    • 41549117955 scopus 로고    scopus 로고
    • On the nearest parametric approximation of a fuzzy number
    • E. N. Nasibov and S. Peker, On the nearest parametric approximation of a fuzzy number, Fuzzy Sets and Systems, 159(2008) 1365-1375.
    • (2008) Fuzzy Sets and Systems , vol.159 , pp. 1365-1375
    • Nasibov, E.N.1    Peker, S.2
  • 20
    • 33846880856 scopus 로고    scopus 로고
    • A note on trapezoidal approximations of fuzzy numbers
    • C.T. Yeh, A note on trapezoidal approximations of fuzzy numbers, Fuzzy Sets and Systems 158(2007) 747-754.
    • (2007) Fuzzy Sets and Systems , vol.158 , pp. 747-754
    • Yeh, C.T.1
  • 21
    • 40049086946 scopus 로고    scopus 로고
    • On improving trapezoidal and triangular approximations of fuzzy numbers
    • C.T. Yeh, On improving trapezoidal and triangular approximations of fuzzy numbers, International Journal of Approximate Reasoning, 48/1 (2008) 297-313.
    • (2008) International Journal of Approximate Reasoning , vol.48 , Issue.1 , pp. 297-313
    • Yeh, C.T.1
  • 22
    • 41549138233 scopus 로고    scopus 로고
    • Trapezoidal and triangular approximations preserving the expected interval
    • C.T. Yeh, Trapezoidal and triangular approximations preserving the expected interval, Fuzzy Sets and Systems, 159(2008) 1345-1353.
    • (2008) Fuzzy Sets and Systems , vol.159 , pp. 1345-1353
    • Yeh, C.T.1
  • 23
    • 34548043250 scopus 로고    scopus 로고
    • Weighted triangular approximation of fuzzy numbers
    • W. Zeng and H. Li, Weighted triangular approximation of fuzzy numbers, International Journal of Approximate Reasoning, 46/1 (2007) 137-150.
    • (2007) International Journal of Approximate Reasoning , vol.46 , Issue.1 , pp. 137-150
    • Zeng, W.1    Li, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.