TY - GEN A1 - Drewniak, Józef PB - Instytut Badań Systemowych. Polska Akademia Nauk PB - Systems Research Institute. Polish Academy of Sciences N1 - [6], 41-59 pages ; 21 cm N1 - Bibliography p. 58-59 N2 - This paper concerns applications of Duality Principle in fuzzy algebra, fuzzy logics and approximate reasoning. Usually dual definitions, theorems, proofs and examples are neglected, omitted or left as a simple exercise. They are treated as an image in mirror. However, such opinion can be quite false, because duality is an equivalence relation. Thus both dual objects are equally important or non important. It can be easy seen in the case of linear programming: one handbook describesmainly maximization of linear functionals, while another concentrates on minimization. We tray to fill up this gap in treating of dual objects by presentation of examples of important dual notions and properties from lattice theory to relation theory and from fuzzy logic to fuzzy relational equations. In particular we describe properties of dual connectives of multivalued logic and summarize properties of dual relation compositions. Finally, a similarity between fuzzy coimplication and poset difference is analyzed. L1 - http://rcin.org.pl/Content/198674/PDF/KS-2012-03-T1P%5B3%5D.pdf M3 - Text CY - Warszawa J2 - Książka = Book ; KS/3/2012/T1P[3] PY - 2012 T1 - New developments in fuzzy sets, intuitionistic fuzzy sets, generalized nets and related topics. Volume I: Foundations * Fuzzy logical connectives in approximate reasoning. dual operations UR - http://rcin.org.pl/dlibra/publication/edition/198674 ER -