A new measure of nonclassical distance

Some properties of a new fuzzy distance measure

Several new results based on the study of distance measures of intuitionistic fuzzy sets

It is doubtless that intuitionistic fuzzy set (IFS) theory plays an increasingly important role in solving the problems under uncertain situation. As one of the most critical members in the theory, distance measure is widely used in many aspects. Nevertheless, it is a pity that part of the existing distance measures has some drawbacks in practical significance and accuracy. To make up for their...

A New Similarity Measure Based on Item Proximity and Closeness for Collaborative Filtering Recommendation

Recommender systems utilize information retrieval and machine learning techniques for filtering information and can predict whether a user would like an unseen item. User similarity measurement plays an important role in collaborative filtering based recommender systems. In order to improve accuracy of traditional user based collaborative filtering techniques under new user cold-start problem a...

On Black-Scholes equation; method of Heir-equations‎, ‎nonlinear self-adjointness and conservation laws

In this paper, Heir-equations method is applied to investigate nonclassical symmetries and new solutions of the Black-Scholes equation. Nonlinear self-adjointness is proved and infinite number of conservation laws are computed by a new conservation laws theorem.

Intrinsic metrological resolution as a distance measure and nonclassical light

We elaborate on a Hilbert-Schmidt distance measure assessing the intrinsic metrological accuracy in the detection of signals imprinted on quantum probe states by signal-dependent transformations. For small signals this leads to a probe-transformation measure Λ fully symmetric on the probe ρ and the generator G of the transformation Λ(ρ,G) = Λ(G, ρ). Although Λ can be regarded as a generalizatio...