Equivalence Relation

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Svetlana Asmuss - One of the best experts on this subject based on the ideXlab platform.

  • aggregation of risk level assessments based on fuzzy Equivalence Relation
    European Society for Fuzzy Logic and Technology Conference, 2017
    Co-Authors: Pavels Orlovs, Svetlana Asmuss
    Abstract:

    The paper deals with the problem of aggregation of risk level assessments. We describe the technique of a risk level evaluation taking into account values of the risk level obtained for objects which are in some sense equivalent. For this purpose we propose to use the construction of a general aggregation operator based on the corresponding fuzzy Equivalence Relation. Numerical example of the investment risk level aggregation using an Equivalence Relation obtained on the basis of different macroeconomic factors for countries of one region is considered.

  • EUSFLAT/IWIFSGN (3) - Aggregation of Risk Level Assessments Based on Fuzzy Equivalence Relation
    Advances in Fuzzy Logic and Technology 2017, 2017
    Co-Authors: Pavels Orlovs, Svetlana Asmuss
    Abstract:

    The paper deals with the problem of aggregation of risk level assessments. We describe the technique of a risk level evaluation taking into account values of the risk level obtained for objects which are in some sense equivalent. For this purpose we propose to use the construction of a general aggregation operator based on the corresponding fuzzy Equivalence Relation. Numerical example of the investment risk level aggregation using an Equivalence Relation obtained on the basis of different macroeconomic factors for countries of one region is considered.

  • General aggregation operators based on a fuzzy Equivalence Relation in the context of approximate systems
    Fuzzy Sets and Systems, 2016
    Co-Authors: Pavels Orlovs, Svetlana Asmuss
    Abstract:

    Our paper deals with special constructions of general aggregation operators, which are based on a fuzzy Equivalence Relation and provide upper and lower approximations of the pointwise extension of an ordinary aggregation operator. We consider properties of these approximations and explore their role in the context of extensional fuzzy sets with respect to the corresponding Equivalence Relation. We consider also upper and lower approximations of a t-norm extension of an ordinary aggregation operator. Finally, we describe an approximate system, considering the lattice of all general aggregation operators and the lattice of all fuzzy Equivalence Relations.

  • upper and lower generalized factoraggregations based on fuzzy Equivalence Relation
    IEEE International Conference on Fuzzy Systems, 2014
    Co-Authors: Pavels Orlovs, Svetlana Asmuss
    Abstract:

    We develop the concept of a general factoraggre-gation operator introduced by the authors on the basis of an Equivalence Relation and applied in two recent papers for analysis of bilevel linear programming solving parameters. In the paper this concept is generalized by using a fuzzy Equivalence Relation instead of the crisp one. By using a left-continuous t-norm and its residuum we define and investigate two modifications of such generalized construction: upper and lower generalized factoraggregations. These generalized factoraggregations can be used for construction of extensional fuzzy sets.

  • FUZZ-IEEE - Upper and lower generalized factoraggregations based on fuzzy Equivalence Relation
    2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014
    Co-Authors: Pavels Orlovs, Svetlana Asmuss
    Abstract:

    We develop the concept of a general factoraggre-gation operator introduced by the authors on the basis of an Equivalence Relation and applied in two recent papers for analysis of bilevel linear programming solving parameters. In the paper this concept is generalized by using a fuzzy Equivalence Relation instead of the crisp one. By using a left-continuous t-norm and its residuum we define and investigate two modifications of such generalized construction: upper and lower generalized factoraggregations. These generalized factoraggregations can be used for construction of extensional fuzzy sets.

Pavels Orlovs - One of the best experts on this subject based on the ideXlab platform.

  • aggregation of risk level assessments based on fuzzy Equivalence Relation
    European Society for Fuzzy Logic and Technology Conference, 2017
    Co-Authors: Pavels Orlovs, Svetlana Asmuss
    Abstract:

    The paper deals with the problem of aggregation of risk level assessments. We describe the technique of a risk level evaluation taking into account values of the risk level obtained for objects which are in some sense equivalent. For this purpose we propose to use the construction of a general aggregation operator based on the corresponding fuzzy Equivalence Relation. Numerical example of the investment risk level aggregation using an Equivalence Relation obtained on the basis of different macroeconomic factors for countries of one region is considered.

  • EUSFLAT/IWIFSGN (3) - Aggregation of Risk Level Assessments Based on Fuzzy Equivalence Relation
    Advances in Fuzzy Logic and Technology 2017, 2017
    Co-Authors: Pavels Orlovs, Svetlana Asmuss
    Abstract:

    The paper deals with the problem of aggregation of risk level assessments. We describe the technique of a risk level evaluation taking into account values of the risk level obtained for objects which are in some sense equivalent. For this purpose we propose to use the construction of a general aggregation operator based on the corresponding fuzzy Equivalence Relation. Numerical example of the investment risk level aggregation using an Equivalence Relation obtained on the basis of different macroeconomic factors for countries of one region is considered.

  • General aggregation operators based on a fuzzy Equivalence Relation in the context of approximate systems
    Fuzzy Sets and Systems, 2016
    Co-Authors: Pavels Orlovs, Svetlana Asmuss
    Abstract:

    Our paper deals with special constructions of general aggregation operators, which are based on a fuzzy Equivalence Relation and provide upper and lower approximations of the pointwise extension of an ordinary aggregation operator. We consider properties of these approximations and explore their role in the context of extensional fuzzy sets with respect to the corresponding Equivalence Relation. We consider also upper and lower approximations of a t-norm extension of an ordinary aggregation operator. Finally, we describe an approximate system, considering the lattice of all general aggregation operators and the lattice of all fuzzy Equivalence Relations.

  • upper and lower generalized factoraggregations based on fuzzy Equivalence Relation
    IEEE International Conference on Fuzzy Systems, 2014
    Co-Authors: Pavels Orlovs, Svetlana Asmuss
    Abstract:

    We develop the concept of a general factoraggre-gation operator introduced by the authors on the basis of an Equivalence Relation and applied in two recent papers for analysis of bilevel linear programming solving parameters. In the paper this concept is generalized by using a fuzzy Equivalence Relation instead of the crisp one. By using a left-continuous t-norm and its residuum we define and investigate two modifications of such generalized construction: upper and lower generalized factoraggregations. These generalized factoraggregations can be used for construction of extensional fuzzy sets.

  • FUZZ-IEEE - Upper and lower generalized factoraggregations based on fuzzy Equivalence Relation
    2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014
    Co-Authors: Pavels Orlovs, Svetlana Asmuss
    Abstract:

    We develop the concept of a general factoraggre-gation operator introduced by the authors on the basis of an Equivalence Relation and applied in two recent papers for analysis of bilevel linear programming solving parameters. In the paper this concept is generalized by using a fuzzy Equivalence Relation instead of the crisp one. By using a left-continuous t-norm and its residuum we define and investigate two modifications of such generalized construction: upper and lower generalized factoraggregations. These generalized factoraggregations can be used for construction of extensional fuzzy sets.

Inmaculada De Hoyos - One of the best experts on this subject based on the ideXlab platform.

Funda Karaçal - One of the best experts on this subject based on the ideXlab platform.

  • An Equivalence Relation based on the U-partial order
    Information Sciences, 2017
    Co-Authors: M. Nesibe Kesicioğlu, Ümit Ertuğrul, Funda Karaçal
    Abstract:

    Abstract In this paper, an Equivalence Relation on the class of uninorms induced by the U-partial order is discussed. Defining the set of all incomparable elements w.r.t. the U-partial order, this set is deeply investigated and some Relations with the sets of all incomparable elements w.r.t. the orders induced by the corresponding underlying t-norm and t-conorm are presented. Also, the set of all incomparable elements with a fixed element w.r.t. the U-partial order is defined and studied in detail.

Itziar Baragaña - One of the best experts on this subject based on the ideXlab platform.