EUSFLAT 2017, IWIFSGN 2017: Advances in Fuzzy Logic and Technology 2017 pp 187-198

# An Equivalence Relation and Admissible Linear Orders in Decision Making

• Urszula Bentkowska
• Barbara Pȩkala
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 641)

## Abstract

In this paper interval-valued fuzzy relations in the context of decision making problems are studied. A new version of transitivity with admissible linear order involved in its notion is introduced. It is examined the connection of this new property and some equivalence relation for interval-valued fuzzy relations. There are also studied admissible linear orders generated by aggregation functions and their connection with the considered equivalence relation. Possible applications of the presented results in decision making are indicated.

## Keywords

Interval-valued fuzzy relations Admissible orders Transitivity

## Notes

### Acknowledgements

This contribution was supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge of University of Rzeszów, Poland, the project RPPK.01.03.00-18-001/10.

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