34 research outputs found
Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making
In this work we introduce a method for constructing linear orders between pairs of intervals by using
aggregation functions. We adapt this method to the case of interval-valued Atanassov intuitionistic fuzzy
sets and we apply these sets and the considered orders to a decision making problem.The work has been supported by projects TIN2013-40765-P and
MTM2012-37894-C02-02 of the Spanish Ministry of Science and
the Research Services of the Universidad Publica de Navarra
Construction of admissible linear orders for pairs of intervals
In this work we construct linear orders between pairs of intervals by using aggregation functions. We apply these orders in a decision-making problem where the experts provide their opinions by means of interval-valued fuzzy sets
Construction of interval-valued fuzzy preference relations from ignorance functions and fuzzy preference relations. Application to decision making
The file attached is this record is the authors pre-print. The publishers version of record can be found by following the DOI link
A Historical Account of Types of Fuzzy Sets and Their Relationships
In this paper, we review the definition and basic properties of the different types of fuzzy sets that have appeared up to now in the literature. We also analyze the relationships between them and enumerate some of the applications in which they have been used
Similarity between interval-valued fuzzy sets taking into account the width of the intervals and admissible orders
In this work we study a new class of similarity measures between interval-valued fuzzy sets. The novelty of our approach lays, firstly, on the fact that we develop all the notions with respect to total orders of intervals; and secondly, on that we consider the width of intervals so that the uncertainty of the output is strongly related to the uncertainty of the input. For constructing the new interval-valued similarity, interval valued aggregation functions and interval-valued restricted equivalence functions which take into account the width of the intervals are needed, so we firstly study these functions, both in line with the two above stated features. Finally, we provide an illustrative example which makes use of an interval-valued similarity measure in stereo image matching and we show that the results obtained with the proposed interval-valued similarity measures improve numerically (according to the most widely used measures in the literature) the results obtained with interval valued similarity measures which do not consider the width of the intervals