We extend our earlier results [1; 2; 4] on the issue of weighted aggregations to linguistic importance weighted aggregations when both the importances (interpreted as benchmarks) and the ratings are given by symmetric triangular fuzzy numbers. We show that (unlike the case with finite term sets) small changes in the membership functions of the weights can cause only small variations in the (cri...

It is shown that the following classes have measure 0 in E: the class of P-selective sets, the class of P-multiselective sets, the class of cheatable sets, the class of easily countable sets, the class of easily approximable sets, the class of near-testable sets, the class of nearly near-testable sets, the class of sets that are not P-bi-immune. These are corollaries of a more general result st...

This chapter first defines a recommendation process, which helps the user to select products from a large number of candidates according to personal preference. Though both conventional database and fuzzy database have been used for this task, none of the two provide a proper solution. A new approach is introduced, which is easy to design and maintain, and provides well justified results. The c...

As we all know, face age estimation task is not only challenging for computer, but even hard for human in some cases, however, coarse age classification such as classifying human face into baby, child, adult or elder people is much easier for human. In this paper, we try to dig out the potential age classification power of computer on faces from consumer images which are taken under various con...

In this paper C1, C2 are non empty sets. Let C be a non empty set. One can verify that every membership function of C is quasi total. Let C1, C2 be non empty sets. A membership function of C1, C2 is a membership function of [:C1, C2 :]. Let C1, C2 be non empty sets and let h be a membership function of C1, C2. A fuzzy relation of C1, C2, h is a FuzzySet of [:C1, C2 :], h. In the sequel f , g de...

A queer way of doing set theory in HOL (together with some queer reasons for doing it that way).

Fuzziness is ever presented in real life decision making problems. In this paper, we adapt the pessimistic approach tostudy a pair of linear primal-dual problem under intuitionistic fuzzy (I-fuzzy) environment and prove certain dualityresults. We generate the duality results using exponential membership and non-membership functions to represent thedecision maker’s satisfaction and dissatisfacti...

This editorial seeks to answer a few simple questions and scotch some misconceptions about the Ulster Medical Society. It offers an invitation to those who have never joined the Society to consider membership. At the same time occasional attenders are reminded that the vitality of any society is best maintained by the regular interest of all its members. In turn it seeks your comments. What is ...