Measures of self-contradiction on Atanassov's intuitionistic fuzzy sets: An axiomatic model
✍ Scribed by Elena E. Castiñeira; Susana Cubillo
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 422 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0884-8173
No coin nor oath required. For personal study only.
✦ Synopsis
introduced the concepts of self-contradictory fuzzy set and contradictory fuzzy sets in an attempt to mark out when an inference process is not coherent. Later, contradiction was studied along the same lines in Cubillo and Castiñeira (In: Proc X Conf of Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia (Italy); ( 2004). 2180-2186) within the framework of Atanassov's intuitionistic fuzzy sets (AIFSs). The aim of this paper is to axiomatically model self-contradiction measures on AIFSs. After introducing some functions to measure negation-dependent or -independent degrees of selfcontradiction of an AIFS in Castiñeira, Cubillo, and Torres (Mathware Soft-Comput 2006;13:139-156), a preliminary axiomatic model for measuring the self-contradiction of AIFSs was presented in Castiñeira et al.