Advances in Fuzzy Mathematics
  • Year: 2009
  • Volume: 4
  • Issue: 2

Measure of fuzziness involved in fuzzy-valued variable

  • Author:
  • Srabani Sarkar1, Madhumangal Pal2
  • Total Page Count: 16
  • Page Number: 85 to 100

1Department of Mathematics, Vivekananda College for Women, Barisa, Kolkata-700008, India, srabani[underscore]sarkar@rediffmail.com

2Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore-721102, India, mmpalvu@gmail.com

Abstract

The present paper gives emphasis on finding out the amount of fuzziness involved in a fuzzy linguistic term in terms of fuzziness involved in other linguistic terms which are close in meaning to the former one. Also, set operations on such fuzzy sets that can be represented in terms of other fuzzy sets are meaningfully defined in the paper. Different aspects of fuzziness involved in a fuzzy-valued variable are mentioned, cross-checked and proved.

Keywords

Fuzzy-valued variable, Fuzziness, Hamming distance, Set operation, Aggregation function