Consolidity analysis for fully fuzzy functions, matrices, probability and statistics

(in lingua inglese)

The paper presented a comprehensive analysis of the necessary know-how for developing the system consolidity theory for various basic fuzzy mathematical problems. The problem of formulating system consolidity theory was extended in this paper to cover general classes of fuzzy mathematical functions, matrices and statistics. It is shown that the system consolidity index can be expressed in compact forms for most standard functions such as trigonometric, hyperbolic and exponential functions. Moreover, the consolidity approach is highly applicable to fuzzy problems expressed and manipulated in matrix form regardless of their dimensionalities and types of operation or to fuzzy data expressed by fuzzy probabilistic or statistical functions.

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Articolo Ain Shams Engineering Journal, 2014


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