title: Construction of the membership surface of imprecise vector.
abstract: In this article, a method has been developed to construct the membership surface of imprecise vector based on Randomness-Impreciseness Consistency Principle. The Randomness-Impreciseness Consistency Principle leads to define a normal law of impreciseness using two different laws of randomness. The Dubois-Prade left and right reference functions of an imprecise number are distribution function and complementary distribution function respectively. In this article, based on the Randomness-Impreciseness Consistency Principle we have successfully obtained the membership surface of imprecise vector and demonstrated with the help of numerical examples.
authors.affiliation: Department of Statistics, Gauhati University, Guwahati, 781014 Assam India.
authors.forename: Dhruba
authors.initials: D
authors.lastname: Das
authors.affiliation: Vice chancellor, Bodoland University, Kokrajhar, 783370 Assam India.
authors.forename: Hemanta K
authors.initials: HK
authors.lastname: Baruah
keywords: Density function; Distribution function; Dubois-Prade left and right reference functions; Imprecise vector; Membership function