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Non-classical Logics and Related Algebra Systems

This special issue belongs to the section “Logic“.

Special Issue Information

Dear Colleagues,

One of important features of the foundation of mathematics is that logic, a central research area, studies basic features of not only reasoning but also many other scientific objects. In particular, logic and algebra, having more general structures, have been investigated in this area, for example, t-norm-based fuzzy logic, and residuated lattices (including MV-algebra, BL-algebra, and MTL-algebra). At the same time, non-classical logic represented by fuzzy logic is widely used in intelligent information processing. Recently, artificial intelligence and big data have become hot spots of science and technology; data intelligence is the integration of the two, which requires a variety of non-classical logic approaches to provide basic theory. In order to promote close communication and cooperation in the research fields of fuzzy logic, various non-classical logic and related algebraic systems, as well as applications in data intelligence, we are planning a Special Issue of Axioms, and we welcome relevant experts and scholars to contribute.

Prof. Dr. Xiaohong Zhang
Prof. Dr. Eunsuk Yang
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • fuzzy logic
  • general implication logic
  • semilinear logic and substructure logic
  • approximation reasoning
  • various non-classical logic approaches
  • residuated lattice
  • T-norm and micanorm
  • overlap function
  • grouping function
  • BCK/BCI/BZ-algebra
  • L-algebra and quantum B-algebra
  • effect algebra and pseudo effect algebra
  • AG/CA/TA/T2CA-groupoid
  • varoius hyper-algebraic structures

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Axioms - ISSN 2075-1680