This study introduce a new type of closed sets in topology called Generalized h-closed (briefly, gh-closed) define as follow: E ⊆ χ be gh-closed set if CLh (E)⊆ U whenever and is open (χ,τ). The relation between other classes ( h-closed, g-closed, g -closed, g-closed αg-closed) are studied. Also, the notion gh-continuous mapping on topological space some properties proved. Finally, separation a...

To celebrate the centenary of John Cage’s birth in 1912, Western Australian new music ensemble Decibel undertook the realization of the American composer John Cage’s (1912 – 1992) complete Variations I – VIII. The works offer a unique insight into the development of Cage’s approach to composition practice, aleatoric approaches, spatial arrangements and the use of electronics. Entitled the “John...

Abstract Online task assignment is one of the core research issues spatio-temporal crowdsourcing technology. The current researches on minimizing travel cost all focus scenario two objectives (task requesters and workers). This paper proposes a two-stage framework (GH) based Greedy algorithm Hungarian for three-objective online to minimize cost. In order further optimize efficiency average cost...

This article introduces the concept of weak sharp minima for convex interval-valued functions. To solve constrained and unconstrained IOPs by WSM, we provide primal dual characterizations set WSM. The characterization is given in terms gH-directional derivatives. On other hand, to derive characterizations, propose notions support function a subset $$I({\mathbb {R}})^{n}$$ gH-subdifferentiabilit...

In this paper, we study fuzzy calculus in two main branches differential and integral.  Some rules for finding limit and $gH$-derivative of $gH$-difference, constant multiple of two fuzzy-valued functions are obtained and we also present fuzzy chain rule for calculating  $gH$-derivative of a composite function.  Two techniques namely,  Leibniz's rule and integration by parts are introduced for ...