The main purposes of this paper are to probe for the entropy differences between arithmetically manipulated Triangular Fuzzy Numbers (TFNs) using Shannon’s Function; and to study the relationships between any two TFNs. Simultaneously, we expand on the articles of Wang et al. [6] and Wang et al. [5]. The entropy differences between two TFNs subjected to different arithmetic operations are classi...

This chapter demonstrates how a neuro-fuzzy approach could produce outputs of a further-modified multi-criteria decision-making (MCDM) quality function deployment (QFD) model within the required error rate. The improved fuzzified MCDM model uses the modified S-curve membership function (MF) as stated in an earlier chapter. The smooth and flexible logistic membership function (MF) finds out fuzz...

In this paper, a visualization system using the individual fluctuation on evaluation is introduced. The system equips the fuzzy correspondence analysis which quantifies relationships between evaluation objects and items. The system can visualize these locations and circles expressing the relative fuzziness of the fluctuation. We define a similarity measure between the evaluation objects and ite...

This paper reviews the existing definitions and formulas of entropy for interval-valued intuitionistic fuzzy sets (IVIFSs) and demonstrates that they cannot fully capture the uncertainty of IVIFSs. Then considering both fuzziness and intuitionism of IVIFSs, we introduce a novel axiomatic definition of entropy for IVIFSs and develop several entropy formulas. Example analyses show that the develo...

In this paper, a novel approach is proposed for contrast enhancement of greyscale image using the fuzzy logic based techniques such as contrast intensification (INT) operator. In the proposed algorithm, a measure of contrast of an image is introduced which is maximized to obtain a suitable crossover point for an image. Using this crossover point, the enhanced image is obtained using the INT ope...

Indeed, the complexity of biological systems may force us to alter in radical ways our traditional approaches to the analysis of such systems. Thus, we may have to accept as unavoidable a substantial degree of fuzziness in the description of the behavior of biological systems as well as in their characterization. This fuzziness, distasteful though it may be, is the price we have to pay for the ...

The subjective trust relationship is uncertain in the open network; it has fuzziness and uncertainty of dual characteristics. Therefore, both features should be considered when setting up trust model. Cloud model was introduced to, a qualitative and quantitative transformation model; the investigation of subjective trust management, a brand new representation method of subjective trust was prop...