Paper:

# A Trust Evaluation of Networks Utilizing Matrix Operations Based on *t*-norms and *t*-conorms

## Masaya Nohmi, Aoi Honda, and Yoshiaki Okazaki

Kyushu Institute of Technology, Iizuka, Fukuoka, 820-8502, Japan

*t*-norm, fuzzy matrix, fuzzy graph, trust evaluation, fuzziness

A new scheme for numerical trust evaluation of networks is proposed. Matrix operations based on *t*-norms and *t*-conorms are used for the evaluation. The algebraic properties of the matrix operations are studied. Fuzzy graphs, in which nodes are linked with some membership value, are proposed, using the matrices as adjacent matrices. Furthermore, the fuzzinesses of the trustability distribution are calculated.

*t*-norms and

*t*-conorms,”

*J. Adv. Comput. Intell. Intell. Inform.*, Vol.16, No.1, pp. 154-161, 2012.

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