## Solving linear and quadratic fuzzy equations.(English)Zbl 0713.04004

Linear equations of the form $$ax+b=c$$, and quadratic equations of the form $$ax^ 2+bx=c$$, $$ax^ 2+bx+d=c$$ are solved. The coefficients and the solutions are supposed to be real or complex fuzzy numbers. The solution technique is based on the extension principle. Applications in chemistry, economics, finance and physics are presented.
Reviewer: K.Peeva

### MSC:

 3e+72 Theory of fuzzy sets, etc.
Full Text:

### References:

  Buckley, J. J., Fuzzy mathematics of finance, Fuzzy Sets and Systems, 21, 257-273 (1987) · Zbl 0613.90017  Buckley, J. J., Portfolio analysis using possibility distributions, (Sanchez, E.; Zadeh, L., Approximate Reasoning in Intelligent Systems, Decision, and Control (1987), Pergamon Press: Pergamon Press Oxford-New York), 69-76  Buckley, J. J., Fuzzy complex numbers, Fuzzy Sets and Systems, 33, 333-345 (1989) · Zbl 0739.30038  Dubois, D.; Prade, H., Operations on fuzzy numbers, Internat. J. System Science, 9, 613-626 (1978) · Zbl 0383.94045  Dubois, D.; Prade, H., Fuzzy real algebra: Some results, Fuzzy Sets and Systems, 2, 327-348 (1979) · Zbl 0412.03035  Isik, C.; Ciliz, M. K., Solution of a fuzzy quadratic equation and its application in fuzzy-control, (Proceedings of NAFIPS. Proceedings of NAFIPS, San Francisco, CA (June 1988))  Kaufmann, A.; Gupta, M. M., Introduction to Fuzzy Arithmetic (1985), Van Nostrand Reinhold: Van Nostrand Reinhold New York · Zbl 0588.94023  Sanchez, E., Solutions of fuzzy equations with extended operations, Fuzzy Sets and Systems, 12, 237-248 (1984) · Zbl 0556.04001  Pedrycz, W., On solution of fuzzy functional equations, J. Math. Anal. Appl., 123, 589-604 (1987) · Zbl 0619.39013
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.