In this contribution, we first introduce the concept of metrical T-norm-based similarity measure for hesitant fuzzy sets (HFSs) {by using the concept of T-norm-based distance measure}. Then,the relationship of the proposed {metrical T-norm-based} similarity {measures} with the {other kind of information measure, called the metrical T-norm-based} entropy measure {is} discussed. The main feature ...

ness organization lexicon Structure-preservation Metrical theory Equation of Structure-building Harmonic rule phonotactics and versus application alternations: strict structure-changing Optimality theory cyclicity operations

Abstract. The Rosen fractions form an infinite family which generalizes the nearestinteger continued fractions. In this paper we introduce a new class of continued fractions related to the Rosen fractions, the α-Rosen fractions. The metrical properties of these α-Rosen fractions are studied. We find planar natural extensions for the associated interval maps, and show that these regions are clos...

A slow-rolling scalar field (Quintessence) has been proposed as the origin of accelerating universe at present. We discuss some features of quintessence, particularly those related with the flatness of its potential. We distinguish two types of quintessences, a metrical quintessence which couples to the particle physics sector only through the mixing with the spacetime metric and a non-metrical...

This paper describes an analyzer that automatically generates the metrical structure of a generative theory of tonal music (GTTM). Although a fully automatic time-span tree analyzer has been developed, musicologists have to correct the errors in the metrical structure. In light of this, we use a deep learning technique for generating the metrical structure of a GTTM. Because we only have 300 pi...

The Spatial Semantic Hierarchy (SSH) provides a robot-independent ontology and logical theory for building topological maps of large-scale environments online. Existing SSH implementations make very limited use of perceptual information and thus create many candidate maps. Metrical mapping implementations capture detailed knowledge about local small-scale space but do not handle large environme...

In this essay a new theory of stress and linguistic rhythm will be elaborated, based on the proposals of Liberman (1975).' It will be argued that certain features of prosodic systems like that of English, in particular the phenomenon of "stress subordination", are not to be referred primarily to the properties of individual segments (or syllables), but rather reflect a hierarchical rhythmic str...

although the majority of the scholars of the arabic prosody share the belief that mutadärik meter was devised and added to the khalili's fifteen meters by akhfash owsat, historical and structural investigations show that this meter can not be his innovation. this article also attempts to introduce the real innovator of mutadärik meter, whom the author of this article believes to be ibn h...

Temporal patterns can be classified into two types: those that are conceivable in terms of a metrical framework and those that are not. In this context, a metrical framework is seen as a mental time scale used in specifying the temporal structure of a pattern. Three experiments are reported in which subjects produced or reproduced temporal patterns. The first shows that in spontaneous productio...

The idea of using measure theoretic concepts to investigate the size of number theoretic sets, originating with E. Borel, has been used for nearly a century. It has led to the development of the theory of metrical Diophantine approximation, a branch of Number Theory which draws on a rich and broad variety of mathematics. We discuss some recent progress and open problems concerning this classica...