Generalized fuzzy groups and many-valued implications

  • Authors:

  • Xuehai Yuan;Cheng Zhang;Yonghong Ren

  • Affiliations:

  • Department of Mathematics, Liaoning Normal University, Dalian 116029, People's Republic of China;Information Engineering College, Dalian University of Technology, Dalian 116624, People's Republic of China;Department of Mathematics, Liaoning Normal University, Dalian 116029, People's Republic of China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2003

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Abstract

In this paper, we give the definition of a fuzzy subgroup with thresholds which is a generalization of Rosenfeld's fuzzy subgroup and Bhakat and Das's fuzzy subgroup. We also give the definition of an implication-based fuzzy subgroup and discuss relations between two fuzzy subgroups.