Theory and Applications of Ordered Fuzzy Numbers: A Tribute to Professor Witold Kosinski

Introduction to fuzzy sets.- Introduction to fuzzy systems.- Ordered fuzzy numbers: sources and intuitions.- Ordered fuzzy numbers: definitions and operations.- Processing the direction with ordered fuzzy numbers.- Some cases of comparing fuzzy numbers using defuzzificators on the catalog of OFN shapes.- Two approaches to fuzzy implication.- The approach to capital budgeting under uncertainty and risk based on Ordered Fuzzy Numbers.- Input-Output Model Based on Ordered Fuzzy Numbers.- Ordered Fuzzy Candlesticks - financial data representation and analysis using Ordered Fuzzy Numbers.- Application of Ordered Fuzzy Numbers to detect trends in the Nasdaq composite index.- The OFNAnt method based on Ant Colony Optimization used to solve the TSP.- A new OFNBee method as an example of fuzzy observance applied for ABC optimization.- Fuzzy observation of DDoS attack.- Fuzzy control for secure TCP transfer.- Fuzzy Numbers applied to a heat furnace control.- Traditional vs OFN-based analysis of temporo-spatial gait parameters.- OFN-based brain function modeling.