General Preference Structure with Uncertainty Data Present by Interval-Valued Fuzzy Relation and Used in Decision Making Model

  • Barbara PȩkalaEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 643)


Interval-valued fuzzy relations can be interpreted as a tool that may help to model in a better way imperfect information, especially under imperfectly defined facts and imprecise knowledge. Preference structures are of great interest nowadays because of their applications. From a weak preference relation derive the following relations: strict preference, indifference and incomparability, which by aggregations and negations are created and examined in this paper. Moreover, we propose the algorithm of decision making by using new preference structure.


Interval-valued fuzzy relations Preference relations Reciprocity property 



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


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© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Faculty of Mathematics and Natural Sciences, Interdisciplinary Centre for Computational ModellingUniversity of RzeszówRzeszówPoland

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