Continuity and semicontinuity of fuzzy mappings

  • Authors:
  • Yu-Ru Syau;Ly-Fie Sugianto;E. S. Lee

  • Affiliations:
  • Department of Information Management, National Formosa University, Yunlin 63201, Taiwan;Department of Accounting and Finance, Monash University, Victoria 3800, Australia;Department of Industrial & Manufacturing Systems Engineering, Kansas State University, Manhattan, KS 66506, United States

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

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Abstract

We study two different concepts of semicontinuity of fuzzy mappings by establishing characterizations of these fuzzy mappings. Relationships between semicontinuity and continuity of fuzzy mappings are explored. Some basic properties of these semicontinuous and continuous fuzzy mappings are presented and proved.