• DocumentCode
    1624582
  • Title

    A new kind of fuzzy relation equations

  • Author

    Qin, Feng ; Fang, Ping

  • Author_Institution
    Coll. of Math. & Inf. Sci., Jiangxi Normal Univ., Nanchang, China
  • fYear
    2009
  • Firstpage
    555
  • Lastpage
    559
  • Abstract
    In this paper, a new kind of fuzzy relation equations (FREs for short) A0 R * x = b is first introduced, and then the problem of solving solution to the FREs is discussed, where A is an mtimesn matrix, x and b are an n and an m dimension column vectors, respectively. More specifically, its solvability and unique solvability are investigated, the corresponding necessary and sufficient conditions are presented, the complete solution set is obtained. It is worth noting the method to construct the complete solutions set.
  • Keywords
    fuzzy set theory; matrix algebra; fuzzy relation equations; solvability; sufficient conditions; Deconvolution; Educational institutions; Equations; Expert systems; Fuzzy logic; Fuzzy sets; Fuzzy systems; Neural networks; Signal processing; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
  • Conference_Location
    Jeju Island
  • ISSN
    1098-7584
  • Print_ISBN
    978-1-4244-3596-8
  • Electronic_ISBN
    1098-7584
  • Type

    conf

  • DOI
    10.1109/FUZZY.2009.5277164
  • Filename
    5277164
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1624582