Fuzzy sets and fuzzy logic: the foundations of application—from a mathematical point of view
Fuzzy sets and fuzzy logic: the foundations of application—from a mathematical point of view
Introduction to Mathematical Logic and Type Theory: To Truth through Proof
Introduction to Mathematical Logic and Type Theory: To Truth through Proof
Introduction: progress in formal commonsense reasoning
Artificial Intelligence - Special issue on logical formalizations and commonsense reasoning
Fuzzy logic deduction with crisp observations
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Precisiated natural language (PNL)
AI Magazine
On the semantics of perception-based fuzzy logic deduction: Research Articles
International Journal of Intelligent Systems - Intelligent and Soft Computing Techniques for Information Processing
On Product Logic with Truth-constants
Journal of Logic and Computation
Fuzzy Control: Fundamentals, Stability and Design of Fuzzy Controllers (Studies in Fuzziness and Soft Computing)
Fuzzy logic with countable evaluated syntax revisited
Fuzzy Sets and Systems
A formal theory of intermediate quantifiers
Fuzzy Sets and Systems
Relations in Fuzzy Class Theory
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Solution of a system of linear equations with fuzzy numbers
Fuzzy Sets and Systems
Monadic L-fuzzy quantifiers of the type
Fuzzy Sets and Systems
A comprehensive theory of trichotomous evaluative linguistic expressions
Fuzzy Sets and Systems
MV-algebras with internal states and probabilistic fuzzy logics
International Journal of Approximate Reasoning
Relational compositions in Fuzzy Class Theory
Fuzzy Sets and Systems
Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Volume 151
Residuated Lattices: An Algebraic Glimpse at Substructural Logics, Volume 151
Fuzzy Sets and Systems
L-fuzzy quantifiers of type determined by fuzzy measures
Fuzzy Sets and Systems
Triangular norm based predicate fuzzy logics
Fuzzy Sets and Systems
On expansions of WNM t-norm based logics with truth-constants
Fuzzy Sets and Systems
What is mathematical fuzzy logic
Fuzzy Sets and Systems
Fuzzy logics as the logics of chains
Fuzzy Sets and Systems
Logical foundations of rule-based systems
Fuzzy Sets and Systems
Which logic is the real fuzzy logic?
Fuzzy Sets and Systems
From fuzzy logic to fuzzy mathematics: A methodological manifesto
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Are fuzzy sets a reasonable tool for modeling vague phenomena?
Fuzzy Sets and Systems
Information Sciences: an International Journal
Fuzzy Sets and Systems
A RFID-based Resource Allocation System for garment manufacturing
Expert Systems with Applications: An International Journal
| Hi-index | 0.21 |
This paper is devoted to reasoning about fuzzy logic which is based on various personal observations of the author. Our goal is to think of the state of the art in mathematical fuzzy logic (MFL) and to outline some of the tasks on which, in the author's opinion, MFL should focus in the future. In our discussion, we will mention not only the basic theory, but also its extension called fuzzy logic in broader sense (FLb). The paradigm of the latter is to be the logic of natural human reasoning, whose most essential characteristic is the use of natural language. Besides brief description of FLb, we will also mention some of its applications. On the basis of that, we will ponder on other possible directions for research, namely the possibility of using FLn as a metatheory of fuzzy mathematics, as a proper tool for modeling of the main manifestations of the phenomenon of vagueness, and as a reasonable tool for developing models of linguistic semantics.