BOOK-CHAPTER
Modelling Non-Numeric Linguistic Variables
Abstract
We consider how non-numeric linguistic variables may take their values from a pre-ordered set of vaguely defined linguistic terms. The mathematical structures that arise from the assumption that linguistic terms are pair-wise tolerant are considered. A homomorphism between tolerance spaces, filter bases and fuzzy numbers is shown. A proposal for modelling non-numeric linguistic variables with an ordered set of fuzzy numbers is introduced.
Keywords:
Homomorphism Set (abstract data type) Linguistics Mathematics Fuzzy set Fuzzy logic Filter (signal processing) Computer science Discrete mathematics Artificial intelligence Programming language Philosophy
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Citation History
Topics
Multi-Criteria Decision Making
Social Sciences → Decision Sciences → Management Science and Operations Research
Fuzzy Logic and Control Systems
Physical Sciences → Computer Science → Artificial Intelligence
Advanced Algebra and Logic
Physical Sciences → Computer Science → Computational Theory and Mathematics
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