This paper is a study of the structure of Brouwer-Zadeh (or BZ-) poset, i.e. a poset endowed with two non-usual orthocomplementations. These two orthocomplementations allow definition of two unary operators which can be considered as algebraic counterparts of the necessity and possibility operators of modal logic. A construction of how to induce a three-valued BZ-poset from a BZ-poset is given. The examples of the BZ-lattice of all generalized characteristic functionals on a reference space and of the BZ-poset of all generalized orthogonal projections on a Hilbert space are dealt with
Brouwer-Zadeh posets and three-valued Łukasiewicz posets / Cattaneo, G; Nistico', Giuseppe Antonio. - In: FUZZY SETS AND SYSTEMS. - ISSN 0165-0114. - 33(1989), pp. 165-190.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
Titolo: | Brouwer-Zadeh posets and three-valued Łukasiewicz posets |
Autori: | |
Data di pubblicazione: | 1989 |
Rivista: | |
Citazione: | Brouwer-Zadeh posets and three-valued Łukasiewicz posets / Cattaneo, G; Nistico', Giuseppe Antonio. - In: FUZZY SETS AND SYSTEMS. - ISSN 0165-0114. - 33(1989), pp. 165-190. |
Handle: | http://hdl.handle.net/20.500.11770/138627 |
Appare nelle tipologie: | 1.1 Articolo in rivista |