Interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems
On the semantics of fuzzy logic
International Journal of Approximate Reasoning
Equality relations as a basis for fuzzy control
Fuzzy Sets and Systems
Fuzzy sets and vague environments
Fuzzy Sets and Systems - Special issue on diagnostics and control through neural interpretations of fuzzy sets
The relation between inference and interpolation in the framework of fuzzy systems
Fuzzy Sets and Systems
The three semantics of fuzzy sets
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Conceptual Spaces: The Geometry of Thought
Conceptual Spaces: The Geometry of Thought
Uncertainty Models for Knowledge-Based Systems; A Unified Approach to the Measurement of Uncertainty
Uncertainty Models for Knowledge-Based Systems; A Unified Approach to the Measurement of Uncertainty
An introduction to bipolar representations of information and preference
International Journal of Intelligent Systems
Generalised Label Semantics as a Model of Epistemic Vagueness
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Linguistic modelling and information coarsening based on prototype theory and label semantics
International Journal of Approximate Reasoning
Uncertainty modelling for vague concepts: A prototype theory approach
Artificial Intelligence
Fuzzy Sets and Systems
A prototype-based rule inference system incorporating linear functions
Fuzzy Sets and Systems
A bipolar model of assertability and belief
International Journal of Approximate Reasoning
Intuitionistic Fuzzy Sets: Theory and Applications
Intuitionistic Fuzzy Sets: Theory and Applications
Bipolar semantic cells: an interval model for linguistic labels
IUKM'11 Proceedings of the 2011 international conference on Integrated uncertainty in knowledge modelling and decision making
Hi-index | 0.00 |
We argue that vagueness is a multi-faceted phenomenon requiring a framework for concept representation incorporating aspects of typicality, semantic uncertainty and indeterminism. In this paper we propose a bipolar model for vague concepts within the framework of prototype theory where concepts are represented by prototypical regions of an underlying conceptual space, and in which the appropriateness of a concept label to describe a given instance is determined on the basis of both a lower and an upper threshold on the distance from the defining prototype. Essentially, the label is absolutely appropriate as a description, providing that the distance to the prototype is less than the lower threshold, and not absolutely inappropriate if it is less than the upper threshold. Hence, in effect a concept is defined by lower and upper neighbourhoods of the prototype within the conceptual space, and the borderline region between the neighbourhoods identifies those elements of the space for which the concept label is neither absolutely appropriate nor absolutely inappropriate to describe. Semantic uncertainty is then represented by a joint probability density function on the lower and upper thresholds so that the lower and upper neighbourhoods correspond to nested random sets. This naturally results in lower and upper appropriateness measures quantifying the belief that a concept label is absolutely appropriate and not absolutely inappropriate to describe a given element of the space. These measures can then be related to the random set interpretation of fuzzy sets and in particular to lower and upper membership functions in interval fuzzy set theory.