A Triangular Cloud Model and Cloud Generator Algorithm

Abstract

Cloud model is a cognitive model which represents the fuzziness and randomness with three digital characteristics, i.e. expectation, entropy and hyper-entropy. The normal cloud model is one of the most important cloud models, which is composed of 2nd-order normal distribution. The normal cloud model is usually expressed in qualitative concept with symmetrical features, and for the concept of fasymmetric only uses the complex combination of cloud model. Therefore, it is more complex in computing and processing in practical application. A new simple cloud model, i.e. triangular cloud model is proposed, and the forward triangular cloud transformation algorithm is presented. Then, a backward triangular cloud transformation algorithm is designed based on the fuzzy discrete expectation. Finally, two simulation examples are given to state the feasibility of the triangular cloud, and the result shows that the new generator algorithm is simple and effective.