By Radko Mesiar, Magda Komorníková (auth.), Chris Cornelis, Glad Deschrijver, Mike Nachtegael, Steven Schockaert, Yun Shi (eds.)
This publication is a tribute to Etienne E. Kerre at the celebration of his retirement on October 1st, 2010, after being energetic for 35 years within the box of fuzzy set thought. It gathers contributions from researchers which have been just about him in a single approach or one other in the course of his lengthy and fruitful profession. along with a foreword via Lotfi A. Zadeh, it includes thirteen chapters on either theoretical and utilized issues in fuzzy set concept, divided in 3 components: 1) logics and connectives, 2) facts research, and three) media functions. the 1st half offers with fuzzy logics and with operators on (extensions of) fuzzy units. half 2 offers with fuzzy tools in tough set thought, formal thought research, choice making and type. The final half discusses using fuzzy tools for representing and manipulating media gadgets, equivalent to photographs and textual content records. the variety of the themes which are coated mirror the range of Etienne's study pursuits, and certainly, the variety of present learn within the region of fuzzy set theory.
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Extra resources for 35 Years of Fuzzy Set Theory: Celebratory Volume Dedicated to the Retirement of Etienne E. Kerre
The study of residuated lattices is closely connected with the study of t-norms (cf.  and also [22, 24]) and it is important for the study of fuzzy logics (with traditional syntax). One of the first logics in which conjunction is interpreted by a tnorm has been proposed in . At present, there are many formal systems of MFL, both propositional as well as predicate. The prominent fuzzy logic calculi are MTL, IMTL, BL, product, or Łukasiewicz (cf. ). All of them are embraced in a wide class of the, so called, core fuzzy logics [4, 20].
3. Construct new sets of the existing implications and study their properties. The most interesting problem is related to the theory of T- and S-norms. The results, related to De Morgan Laws show that the present theory of Tand S-norms must be revised totally, because it is based on De Morgan Laws and therefore, on the classical negation. In future, it must be modiﬁed, based on the diﬀerent types of non-classical negations. Acknowledgements. This paper is partially supported by grant BIn-2/09 “Design and development of intuitionistic fuzzy logic tools in information technologies” of the Bulgarian National Science Fund.
On some types of intuitionistic fuzzy negations. Notes on Intuitionistic Fuzzy Sets 11(4), 170–172 (2005) 6. : On some intuitionistic fuzzy negations. Notes on Intuitionistic Fuzzy Sets 11(6), 13–20 (2005) 7. : A new intuitionistic fuzzy implication from a modal type. Advanced Studies in Contemporary Mathematics 12(1), 117–122 (2006) 8. : On some intuitionistic fuzzy implications. Comptes Rendus de l’Academie bulgare des Sciences, Tome 59(1), 19–24 (2006) 9. : On eight new intuitionistic fuzzy implications.
35 Years of Fuzzy Set Theory: Celebratory Volume Dedicated to the Retirement of Etienne E. Kerre by Radko Mesiar, Magda Komorníková (auth.), Chris Cornelis, Glad Deschrijver, Mike Nachtegael, Steven Schockaert, Yun Shi (eds.)