The purpose of this manuscript is to develop a novel MAIRCA (Multi-Attribute Ideal-Real Comparative Analysis) method solve the MCDM (Multiple Criteria Decision-Making) problems with completely unknown weights in q-rung orthopair fuzzy (q-ROF) setting. Firstly, new concepts q-ROF Lance distance are defined and some related properties discussed paper, from which we establish maximizing deviation ...

By developing the classical kernel method, Delaigle and Meister provide a nice estimation for a density function with some Fourier-oscillating noises over a Sobolev ballWs 2(L) and over L 2 risk (Delaigle and Meister in Stat. Sin. 21:1065-1092, 2011). The current paper extends their theorem to Besov ball Br,q(L) and L p risk with p,q, r ∈ [1,∞] by using wavelet methods. We firstly show a linear...

In this work, our purpose is to introduce I−convergence of sequences of functions in intuitionistic fuzzy normed space by combining the I−convergence, the sequences of functions and the intuitionistic fuzzy normed spaces, and to investigate relations among concepts such as I−convergence, statistical convergence and the usual convergence of sequences of functions in intuitionistic fuzzy normed s...

The sequence X = {Ark } of fuzzy numbers is statistically convergent to the fuzzy number 3(o provided that for each e ~ 0 lim l{the number ofk~e} = 0. n In this paper we study a related concept of convergence in which the set {k: k<~n} is replaced by {k: kr-1 -~k<~kr} for some lacunary sequence {k~}. Also we introduce the concept of lacunary statistically Cauchy sequence and show...

This paper considers a finite-element approximation of a second-order selfadjoint elliptic equation in a region flcR" (with n = 2 or 3) having a curved boundary dQ on which a Neumann or Robin condition is prescribed. If the finite-element space denned over D, a union of elements, has approximation power h in the L norm, and if the region of integration is approximated by Q* with dist (Q, £?*) =...

A Q -fuzzy set is a mapping from [0,1] X Q × → where X is the universe of discourse and Q is a non-empty set. Some works has been emanated for this Q -fuzzy set. In all the above work the set 'Q' is treated as a non-empty set without any algebraic structure. This article presents an algebraic structure for Q -fuzzy set over a semiring named as 1 Q -fuzzy set and provide some properties and resu...

Using the belongs to relation (∈) and quasi-coincidence with relation (q) between fuzzy points and fuzzy sets, the concept of (α, β)fuzzy subalgebras where α, β are any two of {∈, q, ∈ ∨ q, ∈∧ q} with α 6=∈∧ q was introduced, and related properties were investigated in [3]. As a continuation of the paper [3], in this paper, the notion of a fuzzy subalgebra with thresholds is introduced, and its...

In this paper, we establish the theory of fuzzy ideal convergence on completely distributive lattices and give characterizations of some topological notions. We also study fuzzy limit structures and discuss the relationship between fuzzy co-topologies and fuzzy limit structures.