In this paper we present the N-norms/Nconorms in neutrosophic logic and set as extensions of Tnorms/T-conorms in fuzzy logic and set. Then we show some applications of the neutrosophic logic to robotics. I. DEFINITION OF NEUTROSOPHIC SET Let T, I, F be real standard or non-standard subsets of ]0, 1[, with sup T = t_sup, inf T = t_inf, sup I = i_sup, inf I = i_inf, sup F = f_sup, inf F = f_inf, ...

Fuzziness is often regarded as a special form of uncertainty, possibly related to probability but not necessarily reducible to the latter. Indeed, all the mathematical techniques that have been proposed to model fuzziness are substantially different from probabilistic methods, albeit sometimes loosely similar. As shown in this paper, a particular form of fuzzy logic can be derived from probabil...

In this paper we present the N-norms/N-conorms in neutrosophic logic and set as extensions of T-norms/T-conorms in fuzzy logic and set. Also, as an extension of the Intuitionistic Fuzzy Topology we present the Neutrosophic Topologies. 1. Definition of the Neutrosophic Logic/Set: Let T, I, F be real standard or non-standard subsets of ]0, 1[, with sup T = t_sup, inf T = t_inf, sup I = i_sup, inf...

It is well known that the right (left) regular, regular, and intra-regular ordered semigroups play an essential role in studying the structure, especially the decomposition, of ordered semigroups. In the present paper we study some more general classes containing the right regular, left regular, regular and intra-regular ordered semigroups. As an application of our results we get characterizati...

The theory of fuzzy logic provides a good mathematical and methodological basis for capturing the uncertainties associated with human cognitive processes, such as i d e n t i f y i n g c a u s a l relationships, thinking and reasoning. The conventional approaches to knowledge representation lack the means for representing the meaning of vague and incompletely understood concepts. As a consequen...

One of the main objectives of science and engineering is to help people select the most beneficial decisions. To make these decisions, • we must know people’s preferences, • we must have the information about different events – possible consequences of different decisions, and • since information is never absolutely accurate and precise, we must also have information about the degree of certain...

When human experts express their ideas and thoughts, human words are basically employed in these expressions. That is, the experts with much professional experiences are capable of making assessment using their intuition and experiences. The measurements and interpretation of characteristics are taken with uncertainty, because most measured characteristics, analytical result, and field data can...