Abstract
In the present paper, we introduce the notions of Inf-hesitant fuzzy subalgebras and Inf-hesitant fuzzy ideals in BCK/BCI-algebras and investigate their relations and properties. In addition, we discuss the characterizations of Inf-hesitant fuzzy subalgebras and Inf-hesitant fuzzy ideals in BCK/BCI-algebras.
Highlights
The motivation for introducing hesitant fuzzy sets is that it is sometimes difficult to determine the membership of an element into a set and in some circumstances this difficulty is caused by a doubt between a few different values
Torra [25] proposed the concept of hesitant fuzzy sets as a new generalization of fuzzy sets [33], which allows the membership of an element of a set to be represented by several possible values
Some set theoretic operations such as union, intersection and complement on hesitant fuzzy sets have been proposed by Torra [25]
Summary
The motivation for introducing hesitant fuzzy sets is that it is sometimes difficult to determine the membership of an element into a set and in some circumstances this difficulty is caused by a doubt between a few different values. Torra [25] proposed the concept of hesitant fuzzy sets as a new generalization of fuzzy sets [33], which allows the membership of an element of a set to be represented by several possible values. They discussed relationships among hesitant fuzzy sets and other generalizations of fuzzy sets such as intuitionistic fuzzy sets, type-2 fuzzy sets, and fuzzy multisets. A number of research papers have been devoted to the study of fuzzy sets theory and related concepts on different algebraic structures (see e.g., [5,6,7,8, 24]). We discuss the characterizations of these new types of hesitant fuzzy subalgebras and hesitant fuzzy ideals in BCK/BCI-algebras
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
