We propose a scheme for quantizing a scalar field over the Schwarzschild manifold including the interior of the horizon. On the exterior, the timelike Killing vector and on the horizon the isometry corresponding to restricted Lorentz boosts can be used to enforce the spectral condition. For the interior we appeal to CPT invariance to construct an explicitly positive definite operator which allo...

The purpose of this paper is to generalize the concepts of statisticalconvergence of sequences of fuzzy numbers defined by a modulus functionusing difference operator $Delta$ and give some inclusion relations.

A vertex v in a connected fuzzy graph G is a fuzzy detour boundary vertex of a vertex u, if ) , ( ) , ( v u w u Δ ≤ Δ for every fuzzy detour neighbour w of v. This paper is devoted to see how the fuzzy detour boundary vertices are related to fuzzy detour interior vertices. Further, the relation between the fuzzy detour boundary vertices and fuzzy detour eccentric vertices are also studied. Some...

We generalize the concept of fuzzy point, intutionistic fuzzy point, cubic point by introducing the concept of neutrosophic cubic point. Based on neutrosophic cubic point we generalized the idea of ( ; )-fuzzy ideals, ( ; )-intutionistic fuzzy ideals, ( ; )-cubic ideals ideals by initiating the new concept of neutrosophic Cubic ( ; )-ideals. Particularly we give the idea of neutrosophic cubic (...

In this paper, we employed bipolar fuzzy set theory to hemi-rings and we popularized notation of bipolar valued fuzzy interior h-ideal, bipolar-valued fuzzy prime h-ideal, bipolar-valued fuzzy semiprime h-ideal, bipolar-valued fuzzy h-bi-ideal and bipolarvalued fuzzy h-quasi-ideal. We also introduced some basic properties and definition of bipolar-valued fuzzy h-ideals of hemi-ring. Then we int...

Topology design of distributed local area networks can be classified as a hard combinatorial optimization problem. The problem has several conflicting objectives, such as cost, reliability, network delay, and number of hops between source and destination. These desirable features of a network topology can best be expressed in linguistic terms, which is the basis of fuzzy logic. This paper prese...

The aim of this paper is to study L-fuzzy closure operator in Lfuzzy topological spaces. We introduce two kinds of L-fuzzy closure operators from different point view and prove that both L-TFCS–the category of topological L-fuzzy closure spaces–and L-PTFCS–the category of topological pointwise L-fuzzy closure spaces–are isomorphic to L-FCTOP.

With respect to multiple attribute group decision making (MAGDM) problems in which both the attribute weights and the expert weights take the form of real numbers, attribute values take the form of fuzzy number intuitionistic fuzzy numbers, a new group decision making analysis method is developed. Firstly, some operational laws of fuzzy number intuitionistic fuzzy numbers, score function and ac...

The Bonferroni mean is an important aggregation technique which can reflect the correlations of the aggregation arguments. The classical Bonferroni mean is an extension of the arithmetic mean, and is generalized by some researchers based on the idea of the geometric mean. In this paper, based on the Bonferroni mean and the harmonic mean, we introduce some new aggregating operators: the fuzzy Bo...