Formal Introduction to Fuzzy Implications

A NEW WAY TO EXTEND FUZZY IMPLICATIONS

The main purpose of this paper is to use a new way to extend fuzzy implications $I$ from a generalized sublattice $M$ to a bounded lattice $L$, such that the extended implications preserve many of the considered properties of fuzzy implications on $M$.Furthermore, as a special case, we investigate the extension of $(S,N)-$implications. Results indicate that the extended implications preserve ma...

Introduction to formal methods

Introduction to Formal Epistemology

This document contains an extended outline of the course including a bibliography. The idea of this reader is to provide a bird’s eye view of the literature and to list the main examples, definitions and theorems we will use throughout the course. As a consequence, expository text will be kept to a minimum. The website for the course is staff.science.uva.nl/∼epacuit/formep esslli.html On this w...

Introduction to formal methods

An Introduction to Formal Semantics

When people talk, they generally talk about things, events, and situations in the world. They are able to do this because they represent connections between the expressions of their language and extra-linguistic phenomena in a fully systematic way. The meaning of a sentence in a language is, to a large extent, dependent upon the ways in which the words and phrases from which it is constructed c...