Jair Minoro Abe

This book presents a pioneering investigation of the algebraic foundations of non-classical logics. Unifying paraconsistent, paracomplete, and non-alethic structures introduces Curry Systems as a versatile and unifying framework that transcends the limitations of traditional algebraization. Through the formal development of the Cn-, Pn-, Nn-, and Pt-algebras, as well as their first-order extensions, this book offers pre-algebraic tools for modeling contradiction, indeterminacy, and non-alethic reasoning. Essential reading for logicians, mathematicians, philosophers of logic, and researchers in artificial intelligence, this book demonstrates how algebraic methods can rigorously capture reasoning under inconsistency and incompleteness. At once a comprehensive reference and intellectual invitation, it highlights the important role of pre-algebraic structures in the development of logical theory and intelligent systems

This book presents a novel decision-making support system based on paraconsistent annotated evidential logic, which directly handles imprecise, incomplete and contradictory data. The authors offer insights into areas such as engineering and biomedicine, as well as related fields. Decision analysis is useful in making choices when the consequences of actions are uncertain, like in business administration, where it assists in making investment decisions, and in health care, Decision analysis is also valuable when the possible actions may lead to conflicting consequences. A fundamental tenet of decision analysis is that even though the available information is incomplete, a decision must be made. Thus, analyses often contain assumptions about or estimates of missing data.The contribution that this method can provide to professionals and companies has significant relevance in terms of the impact of information systems on productivity and quality of the companies; the lack of training companies for proper planning and management of information systems; and the need for interdisciplinary treatment of several sectors of almost all related scientific areas.This book is a valuable resource for professionals seeking a competitive edge in their performance.

This book presents a novel decision-making support system based on paraconsistent annotated evidential logic, which directly handles imprecise, incomplete and contradictory data. The authors offer insights into areas such as engineering and biomedicine, as well as related fields. Decision analysis is useful in making choices when the consequences of actions are uncertain, like in business administration, where it assists in making investment decisions, and in health care, Decision analysis is also valuable when the possible actions may lead to conflicting consequences. A fundamental tenet of decision analysis is that even though the available information is incomplete, a decision must be made. Thus, analyses often contain assumptions about or estimates of missing data.The contribution that this method can provide to professionals and companies has significant relevance in terms of the impact of information systems on productivity and quality of the companies; the lack of training companies for proper planning and management of information systems; and the need for interdisciplinary treatment of several sectors of almost all related scientific areas.This book is a valuable resource for professionals seeking a competitive edge in their performance.

This book is written as an introduction to annotated logics. It provides logical foundations for annotated logics, discusses some interesting applications of these logics and also includes the authors' contributions to annotated logics. The central idea of the book is to show how annotated logic can be applied as a tool to solve problems of technology and of applied science. The book will be of interest to pure and applied logicians, philosophers and computer scientists as a monograph on a kind of paraconsistent logic. But, the layman will also take profit from its reading.

This book is written as an introduction to annotated logics. It provides logical foundations for annotated logics, discusses some interesting applications of these logics and also includes the authors' contributions to annotated logics. The central idea of the book is to show how annotated logic can be applied as a tool to solve problems of technology and of applied science. The book will be of interest to pure and applied logicians, philosophers and computer scientists as a monograph on a kind of paraconsistent logic. But, the layman will also take profit from its reading.