We introduce and study implicator and coimplicator integrals, and investigate their possible application in defining the possibility and necessity of fuzzy sets. First, the definition and properties of implicators and coimplicators on bounded posets are discussed. Then, in analogy with the theory of seminormed and semiconormed fuzzy integrals, implicator and coimplicator integrals are defined. ...

In the real word, there are many problems which have linear programming models and sometimes it is necessary to formulate these models with parameters of uncertainty. Many numbers from these problems are linear programming problems with fuzzy variables. Some authors considered these problems and have developed various methods for solving these problems. Recently, Mahdavi-Amiri and Nasseri (2007...

The origin of dual tableaux goes back to the paper [RAS60] of Rasiowa and Sikorski, where a cut-free deduction system for the classical first-order logic has been presented. Systems in the Rasiowa-Sikorski style are top-down validity checkers and they are dual to the well known tableau systems. The common language of most of relational dual tableaux is the logic of binary relations which was in...

403 Abstract— In today’s scenario, high performance computing is needed to solve the complex scientific problems. In this regards the Multi-core technology is one of the major technologies. Intel’s Dual Core processors improve the performance of applications by executing multiple programs at a time. The objective of the present paper is to evaluate the performance of well known Object-oriented ...

The concept of dual hesitant fuzzy sets (DHFSs), which was first introduced as a new extension of fuzzy sets and hesitant fuzzy sets in 2012, is a useful tool to deal with the vagueness and ambiguity in many practical problems under hesitant fuzzy environment. Normally, we use the definition of distance to describe the relationship of two DHFSs. However, considering that the existing distance m...

The aim of this work is to study N−dual structures of representable implications generated from a set M of aggregation functions and pairs of mutual dual functions, founded on the isomorphism between the unit interval and special instances of the Goguen’s L-fuzzy sets. We discuss under which conditions representable functions preserve the main properties of their N−dual interval approach.

In matrix models, higher dimensional D-branes are obtained by imposing a noncommutative relation to coordinates of lower dimensional D-branes. On the other hand, a dual description of this noncommutative space is provided by higher dimensional D-branes with gauge fields. Fuzzy spheres can appear as a configuration of lower dimensional D-branes in a constant R-R field strength background. In thi...

Fuzzy Description Logics (DLs) are logics that allow to deal with vague structured knowledge. Although a relatively important amount of work has been carried out in the last years concerning the use of fuzzy DLs as ontology languages, the problem of automatically managing fuzzy ontologies has received very little attention so far. We report here our preliminary investigation on this issue by de...

Fuzzy Description Logics (DLs) are logics that allow to deal with vague structured knowledge. Although a relatively important amount of work has been carried out in the last years concerning the use of fuzzy DLs as ontology languages, the problem of automatically managing fuzzy ontologies has received no attention so far. We report here our preliminary investigation on this issue by describing ...

The objective of this paper is to analyze entropy based Vendor Selection Problem (VSP) model by using fuzzy mathematical programming and primal-dual geometric programming method. Here we have extended the unconstrained convex programming approach to solve VSP model with inequality constraints without adding artificial variables. By t-norm based fuzzy mathematical programming technique and the d...