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韓國全州全屋國立大學Eunsuk Yang副教授關于mica范數的基本代數性質學術報告會

作者: 時間:2019-12-16 點擊數:


時間:2019年12月20日10:00

地點:臨潼校區理學院樓4層會議室

TitleMicanorm aggregation operators

Abstract: Yager introduced a generalization of uninorms, a variant of the concept of uninorm obtained by removing the associativity condition in its definition: he (1994a; 1994b) introduced a class of MICA (Monotonic Identity Commutative Aggregation) operators, and claimed that MICA operators constitute the basic operators needed for aggregation in fuzzy system modeling. Recently, Yang (2015) introduced micanorms as binary MICA operations. In particular, he (2009; 2016; 2017) has introduced micanorms with three weak forms of associativity and micanorm analogues of the Lukasiewicz, Goedel, and Product t-norms. Note that Yang's investigations in Yang (2009; 2015; 2016; 2017) concentrate on introducing logical systems based on such micanorms and their corresponding standard algebraic semantics, whereas his works do not concentrate on introducing good examples for such micanorms and their algebraic properties.

The main purpose of the paper is to provide more thorough investigation of basic algebraic properties of micanorms introduced by Yang. For this, we organize the paper as follows. In Section 2, we first recall the definitions of micanorms in general, micanorms with three weak forms of associativity, and Lukasiewicz, Goedel, and Product weak e-associative (wea-) uninorms. In Section 3, we introduce micanorm analogues of the Lukasiewicz, Goedel, and Product t-norms and investigate some characteristic algebraic properties of those analogues.


報告人:韓國Eunsuk Yang副教授

Associate Professor

Department of Philosophy

Jeonbuk National University

Jeonju, 54896, South Korea

eunsyang@jbnu.ac.kr

Eunsuk Yang received his Ph.D. in Department of Philosophy from Yonsei University in 1997, visited Indiana University (Bloomington), IN, USA, in 2001-2002 as a postdoctoral researcher, and is an Associate Professor of Philosophy Department at Jeonbuk National University, Jeonju, South Korea. His research interests include non-classical logics, in particular, fuzzy logic, substructural logic, relevance logic, and algebraic logic. He has published many articles in journals and conference proceedings in these research areas.

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地址:西安市臨潼區陜鼓大道58號

 

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