Min-transitivity of fuzzy leftness relationship and its application to decision making

✍ Scribed by Sukhamay Kundu

• Book ID: 104292082
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 626 KB
• Volume: 86
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(96)00122-4

✦ Synopsis

We show that the fuzzy leftness relationship Left(A,B) between two intervals A and B on a line, which we had recently defined for modeling spatial relationships, satisfies the min-transitivity property. The previous definitions of leftness given by Krishnapuram et al. and Miyajima et al. do not have this property. The min-transitivity property plays an important role in fuzzy decision making based on Orlovsky's result. We give several general schemes for constructing concrete min-transitive relations based on our LeJ?(A,B) for use in fuzzy decision making. @ 1997 Elsevier Science B.V.