Similarity measures of intuitionistic fuzzy sets based on Lp metric
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Summary
Several reasonable measures to calculate the degree of similarity between IFSs are proposed, in which the proposed measures are induced by L"p metric, and applied to analyze the behavior of decision making.
- Type
- article
- Published
- 2007-09-01
- Cited by
- 215
- References
- 22
- OpenAlex
- https://openalex.org/W1515034838
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:27686903
Keywords
Similarity (geometry), Mathematics, Metric (unit), Measure (data warehouse), Similarity measure
References
- Terminological difficulties in fuzzy set theory - The case of "Intuitionistic Fuzzy Sets"
- Intuitionistic Fuzzy Sets - Theory and Applications
- An application of intuitionistic fuzzy sets in medical diagnosis
- Intuitionistic fuzzy sets
- A Note on Entropy of Intuitionistic Fuzzy Sets
- Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric
- New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions
- On the relationship between some extensions of fuzzy set theory
- New operations defined over the intuitionistic fuzzy sets
- Answer to D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk and H. Prade's paper "Terminological difficulties in fuzzy set theory - the case of "Intuitionistic Fuzzy Sets"
- Intuitionistic fuzzy Prolog
- Entropy for intuitionistic fuzzy sets
- Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
- Similarity measures on intuitionistic fuzzy sets
- On the Dengfeng-Chuntian similarity measure and its application to pattern recognition
- Distances between intuitionistic fuzzy sets
- Distance measure between intuitionistic fuzzy sets
- A similarity-based robust clustering method
- Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance
- Some notes on (Atanassov's) intuitionistic fuzzy sets
Cited by
- The Molds of Intuitionistic Fuzzy Value and Their Applications
- Using the Similarity Measure between Intuitionistic Fuzzy Sets for the Application on Pattern Recognitions
- Approach to multiple attribute decision making based on the Hamacher operation with fuzzy number intuitionistic fuzzy information and their application
- Approach to multiple attribute decision making with hesitant triangular fuzzy information and their application to customer credit risk assessment
- Similarity measures for intuitionistic fuzzy sets: State of the art
- A Unified Approach to Similarity Measures Between Intuitionistic Fuzzy Sets
- Research on the computer network security evaluation based on the DHFHCG operator with dual hesitant fuzzy information
- Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making
- Some new similarity measures for hesitant fuzzy sets and their applications in multiple attribute decision making
- Correlation coefficients for picture fuzzy sets
- Intuitionistic Fuzzy Similarity Measures and Their Role in Classification
- Intuitionistic Fuzzy Sets for Optional Courses Selection
- Similarity measures of intuitionistic fuzzy sets based on cosine function for the decision making of mechanical design schemes
- Developing new similarity measures of generalized intuitionistic fuzzy numbers and generalized interval-valued fuzzy numbers from similarity measures of generalized fuzzy numbers
- Some Scoring Functions of Intuitionistic Fuzzy Sets with Parameters and Their Application to Multiple Attribute Decision Making
- Intuitionistic fuzzy PRI-AND and PRI-OR aggregation operators
- Intuitionistic Fuzzy Clustering Algorithm Based on Boole Matrix and Association Measure
- Intuitionistic fuzzy MST clustering algorithms
- Similarity measures of fuzzy rough sets based on the LP metric
- A new method for solving dual hesitant fuzzy assignment problems with restrictions based on similarity measure
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