The purpose of this research is to interpolate bipolarity into the definition vague soft set. This gives a new more applicable, flexible, and generalized extension set, fuzzy or even which bipolar In addition, types sets, as well some related concepts operations are established with examples. Moreover, properties sets including absorption, commutative, associative, distributive, De Morgan’s law...

We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism. The properties and structural characteristics of these concepts are also studied and discussed. Furthermore, the relationship between the concepts introduced here and the corresponding concepts in classical hyperring theor...

In this paper, we recall the concept of vague soft expert set theory and its operations. We define the AND and OR operations of vague soft expert set and some properties. We prove the De Morgan’s law on vague soft expert set. We then provide an illustrative example of vague soft expert set and its application in decision making.

In this paper, the dual hesitant fuzzy rough set (DHFRS) is studied from the viewpoint of assessment deviations. Firstly, according to the relationship between intuitionistic fuzzy set and vague set, the DHFRS is transferred into a fuzzy set, where the membership of any given element to it has multi-grouped values. By the idea of bootstrap sampling, a group of four sets are generated to describ...

In the construction process of smart grid, an assessment on primary equipments intelligent transformation is an urgent content in the first batch of intelligent substation pilot project. Wide investigation of intelligent substation pilot projects was conducted seriously in several regional power grids in China. An mathematical model was established to assess the substation primary equipments in...

Consistency is an important issue that causes wide public concern of decision makers in the decision-making process. The lack consistency preference relations results a vague solution. main goal this paper to achieve consistent intuitionistic multiplicative relation using graphical approach. We have proposed two different approaches for (IMPR). In first approach, we propose algorithm IMPR by cy...

In 2001, Hainan Sugarcane Breeding Farm bred identified as BC1 hybrid strains of Erianthus real sugar cane for the first time. Fuzzy comprehensive evaluation method in Reference [1] studied and analyzed two strains of sugar cane major economic traits of Erianthus hybrids BC1 17 to have determined it is the fine lines. Fuzzy comprehensive evaluation method, mainly relying on fuzzy matrix, has a ...

In graph theory, a “dominating vertex set” is subset of vertices in such that every the either member or adjacent to subset. other words, dominating set “dominate” remaining graph. Dominating sets are important theory because they can help us understand and analyze behavior For example, network analysis, dominant may represent key nodes influence nodes. Identifying also optimization problems, a...

A generic format for adaptive vague logics is presented. The concrete adaptive vague logics based on this format are able to (1) identify sentences as vague or non-vague in the context of a given set of premisses, and to (2) dynamically adjust the possible set of inferences in accordance with these identifications, i.e. vague sentences can only make use of vague inference rules, sentences conte...