Keywords: Fuzzy variable Independence Operation t-norm Convergence Law of large numbers a b s t r a c t T-independence of fuzzy variables is a more general concept than the classical independence. The objective of this study is to deal with some new properties of T-independent fuzzy variables. First of all, for any general t-norm, some criteria of T-independence are discussed for fuzzy variable...

s 107 ultimate moment); and productivity Ip = (/mat + /man + It)/Iman. Practically, for the fuzzification process (/mat, Ir,a,, It, and Ia are interpreted as fuzzy goals and Isi and Ip as fuzzy constraints), an exponential membership function lk = e -klxl (where k is the importance coefficient) is proposed. Thus by this procedure, the optimal investment is alternative a3, and the hierarchizatio...

s 107 ultimate moment); and productivity Ip = (/mat + /man + It)/Iman. Practically, for the fuzzification process (/mat, Ir,a,, It, and Ia are interpreted as fuzzy goals and Isi and Ip as fuzzy constraints), an exponential membership function lk = e -klxl (where k is the importance coefficient) is proposed. Thus by this procedure, the optimal investment is alternative a3, and the hierarchizatio...

in this note by considering a complete lattice l, we define thenotion of an l-fuzzy hyperrelation on a given non-empty set x. then wedefine the concepts of (pom)l-fuzzy graph, hypergraph and subhypergroupand obtain some related results. in particular we construct the categories ofthe above mentioned notions, and give a (full and faithful) functor form thecategory of (pom)l-fuzzy subhypergroups ...

and Applied Analysis 3 3. Main Results Throughout this paper, we will consider lattices as complete lattices,X will denote space, and μ is a membership function of any fuzzy set X. Definition 3.1. If m : σ L → R ∪ {∞} satisfies the following properties, then m is called a lattice measure on the lattice σ-algebra σ L . i m ∅ L0. ii For all f, g ∈ σ L such that m f , m g ≥ L0 : f ≤ g ⇒ m f ≤ m g ...

This paper adopts the spread of fuzzy variable as a new criteria in practical risk management problems, and develops a novel fuzzy expectation-spread (E-S) model for portfolio optimization problem. Since the spread is defined by Lebesgue-Stieltjes (L-S) integral, its computation for general fuzzy variables is a challenge issue for research, and usually depends on approximation scheme and soft c...

This paper presents a power flow algorithm to carry out load flow by analysing uncertainties. The proposed algorithm is compared with Fuzzy arithmetic to deal the effect of uncertainity. The proposed method is Interval load flow i.e. Interval Improved Fast Decoupled Power Flow (IIFDPF) that considers input parameters as interval variables and considered method is trapezoidal method have been em...

the paper deals with special types of $l$-ordered sets, $l$-fuzzy complete lattices, and fuzzy directed complete posets.first, a theorem for constructing monotone maps is proved, a characterization for monotone maps on an $l$-fuzzy complete lattice is obtained, and it's proved that if $f$ is a monotone map on an $l$-fuzzy complete lattice $(p;e)$, then the least fixpoint of $f$ is meet of ...

The main powerful method for establishing termination of term rewriting systems was discovered by Nachum Dershowitz through the introduction of certain natural well founded orderings (lexicographic path orderings). This leads to natural decision problems which may be of the highest computational complexity of any decidable problems appearing in a natural established computer science context. 1....