many factors affect yield loss in wheat harvesting with a grain combine harvester and there is no mathematical model to describe the behavior of this complex system. thus in this study, a fuzzy logic controller (flc) was designed, implemented and tested for the automatic settings of cylinder speed, concave clearance, fan speed and forward speed of a model 955 john deere combine. first, the mech...

9:00 am – 10:30 am János C. Fodor, Bernard De Baets, Tomasa Calvo, Structure of uninorms with given continuous underlying t-norms and t-conorms Glad Deschrijver, Etienne E. Kerre, The residuation principle for intuitionistic fuzzy t-norms 11.00 am – 12:30 am Michal Baczynski, On the characterizations of intuitionistic fuzzy implications Carol L. Walker, Elbert A. Walker, T-norms on fuzzy sets o...

is obvious, and then what always hold in the Mamdani's case is the equivalence (p 2 q ! r) = (p ! r) ^ (q ! r): (14) Consequently, if I is a Mamdani–Larsen's implication (8) never holds, but (14) is always true. IV. CONCLUSION After remembering the four main types of implications used in Fuzzy Logic, the equality [p ^ q ! r] = [(p ! r) _ (q ! r)] (*) is analyzed bot in complemented lattices and...

The Bandler–Kohout Subproduct (BKS) inference mechanism is one of the two established fuzzy relational inference (FRI) mechanisms, the other being Zadeh’s Compositional Rule of Inference (CRI). Both these FRIs are known to possess many desirable properties. It can be seen that many of these desirable properties are due to the rich underlying structure, viz., the residuated algebra, from which t...

The law of importation for fuzzy implications is studied and it is solved for S, R, QL and D-implications derived from uninorms. Along this study many new solutions of this property appears different from those already known for implications derived from t-norms and t-conorms.

In this paper, we introduce and study the GD′-operations, which are a hyper class of known D′-operations. GD′-operations in fact D′-operations, that generated not only from same fuzzy negation. Similar with they always implications. Nevertheless, some sufficient, but necessary conditions for GD′-operation to be implication, will proved. A satisfaction, or violation basic properties implications...

This paper deals with the joint verification of the inequalities of Modus Ponens and Modus Tollens in Fuzzy Logic. Although the case of Modus Ponens was partially considered before, the case of Modus Tollens and the joint satisfaction of both inequalities are studied by the first time. The cases of R-implications, Simplications, Q-implications and MamdaniLarsen implications are separatedly cons...

It is an open question whether a non-trivial convex combination of triangular norms (resp. conorms) can be a triangular norm (resp. conorm). We investigate the analogous question for S-implications and R-implications.

The paper deals with fuzzy Horn logic (FHL) which is a fragment of predicate fuzzy logic with evaluated syntax. Formulas of FHL are of the form of simple implications between identities. We show that one can have Pavelka-style completeness of FHL w. r. t. semantics over the unit interval [0, 1] with (residuated lattices given by) left-continuous t-norm and a residuated implication, provided tha...

Diversity of opinion is an empirical fact often appearing in social networks. In the paper known statistical methods of evaluation is substituted by fuzzy concepts, namely Step Ordered Fuzzy Numbers (SOFN). SOFN are extentions of Ordered Fuzzy numbers (OFN) introduced by Kosiński, Prokopowicz and Ślȩzak in 2002. In 2011 Kacprzak and Kosiński observed that SOFN may be equipped with a lattice str...