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Volumn 91, Issue 2, 1997, Pages 155-163

Fuzzy numbers are the only fuzzy sets that keep invertible operations invertible

Author keywords

Fuzzy numbers; Fuzzy sets; Invertible operations

Indexed keywords


EID: 0042572669     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(97)00137-1     Document Type: Article
Times cited : (16)

References (13)
  • 2
    • 0347883748 scopus 로고    scopus 로고
    • Graded sets and points: A stratified approach to fuzzy sets and points
    • J.A. Herencia, Graded sets and points: a stratified approach to fuzzy sets and points, Fuzzy Sets and Systems 77 (1996) 191-202.
    • (1996) Fuzzy Sets and Systems , vol.77 , pp. 191-202
    • Herencia, J.A.1
  • 3
    • 0347883739 scopus 로고    scopus 로고
    • Graded numbers and graded convergence of fuzzy numbers
    • J.A. Herencia, Graded numbers and graded convergence of fuzzy numbers, Fuzzy Sets and Systems, 88 (1997) 183-194.
    • (1997) Fuzzy Sets and Systems , vol.88 , pp. 183-194
    • Herencia, J.A.1
  • 5
    • 85033278154 scopus 로고    scopus 로고
    • Only intervals preserve the invertibility of arithmetic operations
    • to appear
    • O.M. Kosheleva, V. Kreinovich, Only intervals preserve the invertibility of arithmetic operations, Reliable Computing (1997) to appear.
    • (1997) Reliable Computing
    • Kosheleva, O.M.1    Kreinovich, V.2
  • 6
    • 0000418525 scopus 로고
    • Representation of associative functions
    • C.H. Ling, Representation of associative functions, Publ. Math. Debrecen 12 (1965) 189-212.
    • (1965) Publ. Math. Debrecen , vol.12 , pp. 189-212
    • Ling, C.H.1
  • 7
    • 0000417799 scopus 로고
    • On directed interval arithmetic and its applications
    • available at www server
    • S.M. Markov, On directed interval arithmetic and its applications, J. Universal Comput. Sci. l (7) (1995) 510-521 (electronic journal; available at www server: http://hgiicm. tu-graz.ac.at).
    • (1995) J. Universal Comput. Sci. , vol.50 , Issue.7 , pp. 510-521
    • Markov, S.M.1
  • 8
    • 2342599191 scopus 로고    scopus 로고
    • On the foundations of interval arithmetic
    • G. Alefeld, A. Frommer, B. Lang (eds.), Akademie-Verlag, Berlin
    • S.M. Markov, On the foundations of interval arithmetic, in: G. Alefeld, A. Frommer, B. Lang (eds.), Scientific Computing and Validated Numerics, Proc. SCAN-95, Akademie-Verlag, Berlin, 1996, pp. 307-313.
    • (1996) Scientific Computing and Validated Numerics, Proc. SCAN-95 , pp. 307-313
    • Markov, S.M.1
  • 10
    • 49349119632 scopus 로고
    • A note on the extension principle for fuzzy sets
    • H.T. Nguyen, A note on the extension principle for fuzzy sets, J. Math. Anal. Appl. 64 (1978) 359-380.
    • (1978) J. Math. Anal. Appl. , vol.64 , pp. 359-380
    • Nguyen, H.T.1
  • 12
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R.T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 13
    • 0001872217 scopus 로고
    • Associated functions and abstracts semigroups
    • B. Schweizer, A. Sklar, Associated functions and abstracts semigroups, Publ. Math. Debrecen 10 (1963) 69-81.
    • (1963) Publ. Math. Debrecen , vol.10 , pp. 69-81
    • Schweizer, B.1    Sklar, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.