Graded Logic

Observable human commonsense reasoning can be modeled with graded propositional logic. Our

approach is distinctive in that all mathematical models are directly linked to specific, observable,

and explainable mental activities. Decision-makers evaluate alternatives through perceived

gradations of truth, importance, suitability, simultaneity, and substitutability. Each graded variable

has a semantic identity, reflecting its role and meaning tied to the goals and interests of a specific

decision-maker.

Graded logic was introduced 50 years ago, and this book presents its current status based on a

half-century of improvements and applications. The book includes examples of decision problems

solved using graded logic models. Our aim is to provide readers with a solid theoretical foundation

in graded propositional calculus, enabling them to confidently apply the LSP method on complex

evaluation and decision problems. Additionally, the book suggests numerous directions for future

research and applications