Name
Title | ||
|---|---|---|
Measuring Inclusion, Similarity And Compatibility Between Atanassov'S Intuitionistic Fuzzy Sets |
Abstract | ||
|---|---|---|
This paper establishes an axiomatic definition of inclusion measures between Atanassov's intuitionistic fuzzy (A-IF for short) sets. Some kinds of A-IF inclusion measures are constructed by different A-IF operators especially by A-IF implicator, and some new methods for measuring the degree of similarity between A-IF sets are proposed. Moreover, the similarity measure obtained from an A-IF inclusion measure satisfies properties of normal similarity measure. We then define a compatibility measure by a predicates logical idea and construct several functions to measure compatibility for an intuitionistic t-norm. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1142/S0218488512500134 | INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS |
Keywords | Field | DocType |
Compatibility measure, inclusion measure, Atanassov's intuitionistic fuzzy sets, similarity measure | Discrete mathematics,Degree of similarity,Similarity measure,Compatibility (mechanics),Axiom,Fuzzy logic,Fuzzy set,Operator (computer programming),Predicate (grammar),Mathematics | Journal |
Volume | Issue | ISSN |
20 | 2 | 0218-4885 |
Citations | PageRank | References |
1 | 0.35 | 24 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bin Xie | 1 | 2 | 2.75 |
| Li-wen Han | 2 | 8 | 1.77 |
| Ju-Sheng Mi | 3 | 2054 | 77.81 |