The importance of being convex: an advantage for convexity when judging position.

L-FUZZY CONVEXITY INDUCED BY L-CONVEX FUZZY SUBLATTICE DEGREE

In this paper, the notion of $L$-convex fuzzy sublattices is introduced and their characterizations are given. Furthermore,  the notion of the degree to which an $L$-subset is an $L$-convex fuzzy sublattice is proposed and its some  characterizations are given. Besides, the $L$-convex fuzzy sublattice degrees of the homomorphic image and pre-image of an $L$-subset are studied. Finally, we obtai...

Hermite-Hadamard Type Inequalities for MφA-Convex Functions

This article deals with the different classes of convexity and generalizations. Firstly, we reveal the new generalization of the definition of convexity that can reduce many order of convexity. We have showed features of algebra for this new convex function. Then after we have constituted Hermite-Hadamard type inequalities for this class of functions. Finally the identity has been revealed for ...

A new quadratic deviation of fuzzy random variable and its application to portfolio optimization

The aim of this paper is to propose a convex risk measure in the framework of fuzzy random theory and verify its advantage over the conventional variance approach. For this purpose, this paper defines the quadratic deviation (QD) of fuzzy random variable as the mathematical expectation of QDs of fuzzy variables. As a result, the new risk criterion essentially describes the variation of a fuzzy ...

Approximate Convexity and Submonotonicity in Locally Convex Spaces

Herder and Reappraising Sculpture as Tactile Art

The main objective of this essay is to re-examine the nature of sculpture and its importance among arts via retrieving and studying the relatively neglected importance of touch in the experience of this art. This objective is pursued according to eighteenth-century German philosopher, Johann Gottfried Herder, by focusing on his Sculpture: Some Observations on Shape and Form from Pygmalion’s Cre...