<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This contribution deals with fuzzy interval orders which are defined by the use of generalized properties, the Ferrers property and total connectedness, of fuzzy relations. Definitions of the generalized properties involve binary operations including t-norms and t-conorms and, more generally, fuzzy conjunctions and disjunctions. In particular, conditions for n-argument functions to preserve fuzzy interval orders during aggregation process are presented. Moreover, some existing results on the Ferrers property are generalized and applied for fuzzy interval orders.</p></abstract>

This contribution deals with fuzzy interval orders which are defined by the use of generalized properties, the Ferrers property and total connectedness, of fuzzy relations. Definitions of the generalized properties involve binary operations including t-norms and t-conorms and, more generally, fuzzy conjunctions and disjunctions. In particular, conditions for n-argument functions to preserve fuzzy interval orders during aggregation process are presented. Moreover, some existing results on the Ferrers property are generalized and applied for fuzzy interval orders.

Conjunction and Disjunction Based Fuzzy Interval Orders in Aggregation Process

Interdisciplinary Centre for Computational Modelling University of Rzeszów al. Rejtana 16c PL-35–959 Rzeszów,

KERMIT, Research Unit Knowledge-based Systems Ghent University Coupure links 653 B–9000 Gent,

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Conjunction and Disjunction Based Fuzzy Interval Orders in Aggregation Process"}

This contribution deals with fuzzy interval orders which are defined by the use of generalized properties, the Ferrers property and total connectedness, of...

Conjunction and Disjunction Based Fuzzy Interval Orders in Aggregation Process

Published Online: Jan 20, 2017

Page range: 13 - 24

Received: Jul 15, 2016

DOI: https://doi.org/10.1515/tmmp-2016-0016

Keywords
fuzzy relation, fuzzy connective, fuzzy conjunction, fuzzy disjunction, aggregation function, Ferrers property, fuzzy interval order

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Conjunction and Disjunction Based Fuzzy Interval Orders in Aggregation Process

Published Online: Jan 20, 2017

Page range: 13 - 24

Received: Jul 15, 2016

DOI: https://doi.org/10.1515/tmmp-2016-0016

Keywordsfuzzy relation, fuzzy connective, fuzzy conjunction, fuzzy disjunction, aggregation function, Ferrers property, fuzzy interval order

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
fuzzy relation, fuzzy connective, fuzzy conjunction, fuzzy disjunction, aggregation function, Ferrers property, fuzzy interval order