Algebraic characteristics of extended fuzzy numbers

@article{Zhao1991AlgebraicCO,
  title={Algebraic characteristics of extended fuzzy numbers},
  author={Renhong Zhao and Rakesh Govind},
  journal={Inf. Sci.},
  year={1991},
  volume={54},
  pages={103-130}
}
Extended fuzzy numbers, previously called fuzzy intervals, are discussed by using the resolution identity and the extension principle. The regularity and the spread are defined for describing the algebraic properties of extended fuzzy numbers. Arithmetic operations on a-level set intervals are suggested instead of general set operations in order to reduce the amount of computation. A sufficient and necessary condition for solving A + X= C is derived. Tbe exact solution for A + X = C is obtained… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-6 of 6 references

The application of fuzzy control systems to industrial processes

  • E. H. Mamdani
  • Automaticu
  • 1985

The concept of a linguistic variable and its application to approximate reasoning

  • L. A. Zadeh
  • Inform . Sci .
  • 1985

On the existence of solution of systems of fuzzy equations

  • Siegfried Gottwald
  • Fuzzy Sefs and Systems,
  • 1984

Wong and Weimin Dong , The vertex method and its use in earthquake engineering , in First International Symposium on Fuzzy Mathematics in Earthquake Research , Seismology Press , China ,

  • S. Felix
  • 1984

Operations on fuzzy numbers , Internat

  • Didier Dubois, Henri Prade
  • J . System Sci .
  • 1978

Tong , Synthesis of fuzzy models for industrial progresssome recent results , Internat

  • M. Richard
  • J . Gen . Systems
  • 1978

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