In this chapter we discuss some open problems related to fuzzy implications, which have either been completely solved or those for which partial answers are known. In fact, this chapter also contains the answer for one of the open problems, which is hitherto unpublished. The recently solved problems are so chosen to reflect the importance of the problem or the significance of the solution. Fina...

Acknowledgements I sincerely thank my promotor Prof. Etienne Kerre for leading me to the world of research and for his strong support and guidance all the time. I appreciate always his suggestions and comments. I also truly thank my co-promotor Prof. Da Ruan for his constant help and new ideas. Next, I would like to thank Bart Van Gasse for his co-authorship. I am grateful to him for his cooper...

Purpose – The purpose of this paper is to define an evaluation model for cloud services to deal with the fuzzy information and propose a novel fuzzy evaluation method based on consistency intensity to analyze the quantitative value from the fuzzy information. Design/methodology/approach – The cloud service evaluation framework is constructed, and different trusted indicators for the infrastruct...

This note describes a method for computation of non-redundant bases of attribute implications from data tables with fuzzy attributes. Attribute implications are formulas describing particular dependencies of attributes in data. A non-redundant basis is a minimal set of attribute implications such that each attribute implication which is true in a given data (semantically) follows from the basis...

This paper presents a study on inference in a Fuzzy Logic Controller (FLC). Inference is made up of interpretation, implication, combination and defuzzification. These last two steps can be performed in two sequences. An explanation, through approximate reasoning, on how to implement other than the welìknown Mamdani and Larsen implications is given. (Dis)advantages of several combinations of im...

In this paper, the differently implicational universal triple I inference algorithms of fuzzy reasoning are discussed. We generalize fuzzy reasoning triple I algorithms to differently implicational (1, 2, 1) type universal triple I algorithms, and their solutions (FMP universal triple I solution and FMT universal triple I solution) are structured. As the corollaries of the main results in this ...

The aim of this paper is to build a formal model for similarity-based fuzzy unification in multi-adjoint logic programs. Specifically, a general framework of logic programming which allows the simultaneous use of different implications in the rules and rather general connectives in the bodies is introduced, then a procedural semantics for this framework is presented, and an aproximative-complet...

Talent evaluation is a very important part in the human resources development and management process, and it has certain implications for talent prediction and planning, allocation and management, and training. In this paper, the author makes a fuzzy evaluation model of creative talents based on analytic hierarchy process. By using fuzzy analytic hierarchy process, we combine qualitative indica...