The intuitionistic hesitant fuzzy set (IHFS) is an enriched version of sets (HFSs) that can cover both (FSs) and (IFSs). By assigning membership non-membership grades as subsets [0, 1], the IHFS model handle situations more proficiently. Another related theory pair analysis (SPA), which considers certainties uncertainties a cohesive system represents them from three aspects: identity, discrepancy, contrary. In this article, we explore suitability combining SPA theories in multi-attribute...

Assessment specialists (experts) are sometimes expected to provide two types of information: knowledge rating domains and the performance objects (called confidence levels). Unfortunately, results previous information aggregation studies cannot be properly used combine categories data covered above. Additionally, a significant range symmetric/asymmetric events structures frequently included in implementation process or practical use fuzzy systems. The primary goal current study was cubic...

The concept of interval valued pentapartitioned neutrosophic set is the extension interval-valued set, quadripartitioned and set. powerful mathematical tool known as divides indeterminacy into three separate components: unknown, contradiction, ignorance. There are several applications for graph theory in everyday life, it a rapidly growing topic. an used theory. A decision-making method ( multicriteria, MCDM) proposed by using developed Interval Pentapartitioned Neutrosophic with numerical...

Evidence-based cosmology (EBC) is a cosmological model that has no theoretical presumptions. In EBC, every element in the corresponding physical reality observed and measured. The EBC related to real observable universe by bijective function of set theory. Supermassive black holes (SMBH) centers galaxies are rejuvenating systems universe. center SMBH energy density superfluid space so low atoms become unstable fall apart into elementary particles. SMBHs transform old matter fresh form jets...

Linear Diophantine fuzzy set (LDFS) theory expands Intuitionistic (IFS) and Pythagorean (PyFS) theories, widening the space of vague uncertain information via reference parameters owing to its magnificent feature a broad depiction area for permissible doublets. We codify shortest path (SP) problem linear graphs. numbers (LDFNs) are used represent weights associated with arcs. The main goal presented work is create solution technique directed network graphs by introducing (LDF) optimality...

Big Bang cosmology is problematic because of the hypothetical beginning that not in accord with conservation energy. Furthermore, it based on interpretation astronomical data questionable. Cosmic microwave background radiation (CMB) direct proof existence recombination period some remote physical past. Cosmological redshift can be seen as “tired light effect” proposed by Zwicky [Proc. Natl. Acad. Sci. U. S. A. 15 , 773 (1929)]. Based reading data, here we introduce a model universe, which...

Gas industry as one of the greatest sectors energy, has a major role in environmental issues. A category energy intensive parts gas is heaters City Gate Stations which consume colossal volumes purified gases. Different optimization strategies to improve efficiency these entailing preheating, waste heat recovery exhausts, insulating pipelines and mounting economizers or recuperators even using renewable sources have been already introduced. Besides, finding optimized geometry very essential...

The theory of spherical linear Diophantine fuzzy sets (SLDFS) boasts several advantages over existing set (FS) theories such as Picture (PFS), (SFS), and T-spherical (T-SFS). Notably, SLDFS offers a significantly larger portrayal space for acceptable triplets, enabling it to encompass wider range ambiguous uncertain knowledge data sets. This paper delves into the regularity graphs (SLDFGs), establishing their fundamental concepts. We provide geometrical interpretation SLDFGs within context...

<abstract><p>Topology is branch of modern mathematics that plays an important role in applications biology. The aim this paper to study DNA sequence mutations using multisets, relations, metric functions, topology and association indices. Moreover, we use indices the similarity between sequences. These different ways identifying a mutation help biologists make decision. A decision depends on metrics two sequences genes topological structure produced by their relationship...

The notion of the fuzzy set was introduced by Lotfi A [...]

In this manuscript, we obtain common fixed point theorems in the neutrosophic cone metric space. Also, notion of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mfenced open="(" close=")" separators="|"><mml:mrow><mml:mi mathvariant="normal">Φ</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="normal">Ψ</mml:mi></mml:mrow></mml:mfenced></mml:math>-weak contraction is defined space by using idea altering distance function. Finally, review many examples spaces to verify some...

In this paper, we introduce and investigate a new class of sets functions between topological space called neutrosophic supra pre- continious functions. Furthermore, the concepts neutro- sophic pre-open maps pre-closed in terms sets, respectively, are introduced several prop- erties them investigated.

In the first part of paper, we try to identify presence gravity, at a microscopic level, by introducing conical defects and maintaining an approach that assumes topological equivalence among underlying manifolds form tissue D-brane itself. second part, will present alternative defects, considering theory teleparallel in which torsion construction brane always occurs within context our new interpretation emergent spaces.

The idea of linear Diophantine fuzzy set (LDFS) theory with its control parameters is a strong model for machine learning and optimization under uncertainty. activity times in the critical path method (CPM) representation procedures approach are initially static, but Project Evaluation Review Technique (PERT) approach, they probabilistic. This study proposes novel way project review assessment methodology network (LDF) environment. LDF expected task time, variance, path, total time...

In this article, the concept of neutrosophic homeomorphism and αψ in topological spaces is introduced. Further, work extended as αψ∗ homeomorphism, open closed mapping Tαψ space establishes some their related attributes.

In this paper, we introduce the notion of a single-valued co-neutrosophic graphs and study some methodsof construction new graphs. We compute degree vertex, strong single-valuedco-neutrosophic complete also give properties ofregular totally regular

We present the proof for source of exchange flying ring biological bosonic state in homochirality L-amino acids. It is a knot parallel transport Yang–Mills field genetic code evolved from natural selection. serves as protein folding structure acids over all living organism. In proof, we modified Frank’s model and added more properties nonlinearity supersymmetry. The mirror symmetries transform their left right homochiral hidden states reversed reaction equation spontaneous autocatalysis....

We provide a possible way of constructing new kinds manifolds which we will call Partially Negative Dimensional Product manifold (PNDP-manifold for short). In particular PNDP-manifold is an Einstein warped product special kind, where the base-manifold $B$ Remannian (or pseudo-Riemannian) product-manifold $B=Π_{i=1}^{q'}B_i \times Π_{i=(q'+1)}^{\widetilde q} B_i$, with $Π_{i=(q'+1)}^{\widetilde B_i$ Einstein-manifold, and fiber-manifold $F$ derived-differential-manifold (i.e., form: smooth...

We introduce a new geometric/topological approach to the emerging braneworld scenario in context of D-branes using partially negative dimensional product (PNDP) manifolds. The working hypothesis is based on fact that orientability PNDP manifolds can be arbitrary, and starting from this, we propose gravitational interaction derive naturally non-orientability. According this hypothesis, show topological defects emerge non-orientability they identified as at macroscopic level. In other words,...

Recently, PNDP-manifolds have been introduced, and these shown to be useful in applicative aspects especially the field of cosmology, introducing a new geometric/topological approach concept “emerging space”. However, applications considered so far concern only trivial flat PNDP-manifolds. Therefore, we show existence non-Ricci-flat solutions for with positive “virtual” dimension which hyperbolic [Formula: see text]-manifold. Based on this, advanced an hypothesis, accompanied by some open...

The main purpose of this paper is to show and introduce some new interpretative aspects the concept "emergent space" as geometric/topological approach in cosmological field. We will present possible applications theory, among which possibility considering a non-orientable wormhole. Finally, Subsection 2.3, we give topological interpretation, using approach, M-Theory String Theory $10$ dimensions. Further conclusions interpretation suggests, also remarks unifying between strings dark matter....