Solving systems of linear fuzzy equations

作者: J.J. Buckley , Y. Qu

DOI: 10.1016/0165-0114(91)90019-M

关键词: Fuzzy matrixGeneralizationLinear equationFuzzy numberApplied mathematicsDiscrete mathematicsSquare (algebra)Extension principleMathematicsInterval arithmeticFuzzy logic

摘要: Abstract In this paper we wish to construct solutions for x the fuzzy matrix equation Ax = b when elements in A and are triangular numbers. is square always non-singular. We argue that previous method of solving , based on extension principle regular arithmetic, should be abandoned since it too often fails produce a solution. present six new which show five identical. then adopt common value X these as our solution . vector generalization Rn real also how results pertain to, extend, research problem within area interval analysis.

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