In this paper, we start from this idea that the set of nonzero fuzzy subsets of a fuzzy hyperalgebra can be organized naturally as a universal algebra, and constructing the term functions over this algebra we can deduce some results on fuzzy hyperalgebras from some of the very known properties of the term functions of a universal algebra. Also, we present the form of the generated subfuzzy hype...

We study the topological properties on fuzzy sphere. We show that the topological charge is only defined modulo N + 1, that is finite integer quotient ZN+1, where N is a cut-off spin of fuzzy sphere. This periodic structure on topological charges is shown based on the boson realizations of SU(2) algebra, Schwinger vs. Holstein-Primakoff. We argue that this result can have a natural K-theory int...

In this paper we upgraded the Luhandjula’s method (Fuzzy Sets and Systems, 13(1), (1984), 11-23) for multiple objective linear plus fractional programming problems (MOL+FPP) with modification given by Dutta et al. (Fuzzy Sets and System, 52(1), (1992), 39-45). The aim of this paper is to show new fuzzy set approach for MOL+FPP by defining new membership function for linear function part and si...

In this paper, some types of fuzzy filters a strong Sheffer stroke non-associative MV-algebra (for short, NMV-algebra) are introduced. By presenting new properties filters, we define prime filter in algebraic structure. Then (prime) NMV-algebra determined and features proved. Finally, built quotient by filter.

Granular Computing (GrC), a knowledge-oriented computing which covers the theory of fuzzy information granularity, rough set theory, the theory of quotient space and interval computing etc, is a way of dealing with incomplete, unreliable, uncertain fuzzy knowledge. In recent years, it is becoming one of the main study streams in Artificial Intelligence (AI). With selecting the size structure fl...

New types of systems of fuzzy relation inequalities and equations, called weakly linear, have been recently introduced in [J. Ignjatović, M. Ćirić, S. Bogdanović, On the greatest solutions to weakly linear systems of fuzzy relation inequalities and equations, Fuzzy Sets and Systems 161 (2010) 3081–3113.]. The mentioned paper dealt with homogeneous weakly linear systems, composed of fuzzy relati...

To each fuzzy subgroup a fuzzy equivalence relation is associated and it is proved that a fuzzy subgroup is normal if and only if the operation of the group is compatible with its associated fuzzy equivalence relation. In the de-nition of fuzzy subgroup only the subset is fuzzy whilst the group operation remains crisp. In an opposite direction, another structure can be constructed maintaining c...

In this study, we define the concept of an ω-fuzzy set subring and show that intersection two subrings is also a given ring. Moreover, give notion ideal investigate different fundamental results phenomenon. We extend ideology to propose coset develop quotient ring with respect particular fuzzy analog into classical Additionally, found subring. idea support prove various important characteristic...

To evaluate the variation in ecological risk induced by pollutants from construction of Baihetan Dam, largest hydropower station under world, this study proposes a fuzzy hazard quotient (HQ) model designed on basis triangular number (TFN) theory. The HQ uses hazardous TFN to including uncertain observation data, and transition analyze before after dam construction. results show following: (i) a...

In this paper we consider generalized moment functions of higher order. These are closely related to the well-known binomial type which have been investigated on various abstract structures. our former properties order commutative groups. particular, proved characterization a group as product an exponential and composition multivariate Bell polynomial sequence additive functions. present contin...