期刊
FUZZY SETS AND SYSTEMS
卷 143, 期 1, 页码 129-155出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2003.06.004
关键词
weak pseudo-BL-algebra; pseudo-MTL-algebra; pseudo-t-norm; pair of weak negations
Weak pseudo BL-algebras (WPBL-algebras) are non-commutative fuzzy structures which arise from pseudo-t-norms (i.e. the non-commutative versions of triangular norms). In this paper, we study the pairs of weak negations on WPBL-algebras, extending the case of weak negations on Esteva-Godo MTL-algebras. A geometrical characterization of the pairs of weak negations in bounded chains is provided. Our main result characterizes the pairs of weak negations compatible with the multiplication of totally ordered WPBL-algebras giving a way to obtain new examples of WPBL-algebras. We use this to identify all the compatible pairs of weak negations on finite MV-chains. (C) 2003 Elsevier B.V. All rights reserved.
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