It took many decades for Peirce's coneept of a relation to find its way into the microelectronic innards of control systems of eement kilns, subway trains, and tunnel-digging machinery. But what is amazing is that the more we leam about the basically simple coneept of a relation, the more aware we become of its fundamental importanee and wide ranging ramifications. The work by Di Nola, Pedrycz, Sanchez, and Sessa takes us a long distanee in this direction by opening new vistas on both the theory and applications of fuzzy relations - relations which serve to model the imprecise coneepts which pervade the real world. Di Nola, Pedrycz, Sanchez, and Sessa focus their attention on a eentral problem in the theory of fuzzy relations, namely the solution of fuzzy relational equations. The theory of such equations was initiated by Sanchez in 1976, ina seminal paper dealing with the resolution of composite fuzzy relational equations. Sinee then, hundreds of papers have been written on this and related topics, with major contributions originating in France, Italy, Spain, Germany, Poland, Japan, China, the Soviet Union, India, and other countries. The bibliography included in this volume highlights the widespread interest in the theory of fuzzy relational equations and the broad spectrum of its applications.
This book presents the first algebraic treatment of quasi-truth fuzzy logic and covers the algebraic foundations of many-valued logic. It offers a comprehensive account of basic techniques and reports on important results showing the pivotal role played by perfect many-valued algebras (MV-algebras). It is well known that the first-order predicate Łukasiewicz logic is not complete with respect to the canonical set of truth values. However, it is complete with respect to all linearly ordered MV –algebras. As there are no simple linearly ordered MV-algebras in this case, infinitesimal elements of an MV-algebra are allowed to be truth values. The book presents perfect algebras as an interesting subclass of local MV-algebras and provides readers with the necessary knowledge and tools for formalizing the fuzzy concept of quasi true and quasi false. All basic concepts are introduced in detail to promote a better understanding of the more complex ones. It is an advanced and inspiring reference-guide for graduate students and researchers in the field of non-classical many-valued logics.
New Directions is proud to be the publisher of the the distinguished Italian novelist Antonio Tabucchi, whose works include The Edge of the Horizon, a story of an “unimportant death,” now available for the first time in a paperback edition. Late on night, the body of a young man is delivered to the morgue of an Italian town. The next day's newspapers report that he was killed in a police raid, and that went by the obviously false name "Carlo Nobodi." Spino, the morgue attendant on duty at the time, becomes obsessed with tracing the identity of the corpse. "Why do you want to know about him?" asks a local priest. "Because he is dead and I'm alive," replies Spino. In this spare yet densely packed cautionary tale, Tabucchi reminds us that it is impossible to reach the edge of the horizon since it always recedes before us, but suggests that some people "carry the horizon with them in their eyes.
The modern visitor, who approaches Pompeii two thousand years later, coming not only from another region but from quite another world, can still sense the subtle magic of love that emanates from the wall-paintings of the houses, from the bas-reliefs along the streets, from the graffiti scribbled on the walls of the buildings among which he wanders." -- Introduction.
This book constitutes the refereed proceedings of the 7th Italian Conference on Theoretical Computer Science, ICTCS 2001, held in Torino, Italy in October 2001. The 25 revised full papers presented together with two invited papers were carefully reviewed and selected from 45 submissions. The papers are organized in topical sections on lambda calculus and types, algorithms and data structures, new computing paradigms, formal languages, objects and mobility, computational complexitiy, security, and logics and logic programming.
Containing detailed information on the more than 30,000 items available in the average supermarket, this valuable guide presents the most current information available on calories, fat, saturated fat, cholesterol, and sodium. This revised edition of the national bestseller includes a new section on heart-healthy cooking.
This book presents the first algebraic treatment of quasi-truth fuzzy logic and covers the algebraic foundations of many-valued logic. It offers a comprehensive account of basic techniques and reports on important results showing the pivotal role played by perfect many-valued algebras (MV-algebras). It is well known that the first-order predicate Łukasiewicz logic is not complete with respect to the canonical set of truth values. However, it is complete with respect to all linearly ordered MV –algebras. As there are no simple linearly ordered MV-algebras in this case, infinitesimal elements of an MV-algebra are allowed to be truth values. The book presents perfect algebras as an interesting subclass of local MV-algebras and provides readers with the necessary knowledge and tools for formalizing the fuzzy concept of quasi true and quasi false. All basic concepts are introduced in detail to promote a better understanding of the more complex ones. It is an advanced and inspiring reference-guide for graduate students and researchers in the field of non-classical many-valued logics.
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