Choosing a proper construction project is vital subject for entrepreneurs to reduce their costs. In real cases, vagueness and uncertain data drive decisions based on uncertainty. The intuitionistic fuzzy sets (IFSs) theory could assist decision-makers (DMs) in inscribing inadequate knowledge. Nevertheless, this paper provides new integrated decision analysis model with IFSs. suggested procedure...

Investments in microgeneration technologies help to boost the usage of clean energy while reducing pollution. However, selecting appropriate investment remains most critical phase developing these technologies. This study aims design a multi-criteria decision-making method (MCDM) evaluate alternatives for The proposed MCDM is based on Multi Stepwise Weight Assessment Ratio Analysis (M-SWARA), d...

By extending the Bonferroni mean operator to the intuitionistic fuzzy situation, we introduce a new kind of aggregating operator: the induced generalized weighted Bonferroni mean(I-GWBM) operator. The I-GWBM operator includes many famous aggregation operators for intuitionistic fuzzy sets(IFSs) as special cases. Then, we generalize the I-GWBM operator by using quasi-arithmetic means and propose...

This short comment aims at providing connections between the algorithm for image thresholding using type II fuzzy sets, recently proposed by Tizhoosh in Ref. [1], and Atanassov’s intuitionistic fuzzy sets (A-IFSs), as well as pointing out some terminological issues. The idea of applying higher-order fuzzy sets for image thresholding discussed in Ref. [1] is interesting and promising; however, s...

We introduce a Fourier based harmonic analysis for a class of discrete dynamical systems which arise from Iterated Function Systems. Our starting point is the following pair of special features of these systems. (1) We assume that a measurable space X comes with a finite-to-one endomorphism r : X → X which is onto but not one-to-one. (2) In the case of affine Iterated Function Systems (IFSs) in...

We investigate the topological and metric properties of attractors of an iterated function system (IFS) whose functions may not be contractive. We focus, in particular, on invertible IFSs of finitely many maps on a compact metric space. We rely on ideas of Kieninger [Iterated Function Systems on Compact Hausdorff Spaces (Shaker, Aachen, 2002)] and McGehee and Wiandt [‘Conley decomposition for c...

In this paper, we study in-depth certain properties of interval-valued fuzzy sets and Atanassov’s intuitionistic fuzzy sets (A-IFSs). In particular, we study the manner in which to construct different interval-valued fuzzy connectives (or Atanassov’s intuitionistic fuzzy connectives) starting from an operator. We further study the law of contradiction and the law of excluded middle for these se...

This paper deals with analytic families of holomorphic iterated function systems. Using real analyticity of the pressure function (which we prove), we establish a classification theorem for analytic families of holomorphic iterated function systems which depend continuously on a parameter when the space of holomorphic iterated function systems is endowed with the λ-topology. This classification...

We present a family of algebraic structures, called rectangular bilattices, which serve as a natural accommodation and powerful generalization to both intuitionistic fuzzy sets (IFSs) and interval-valued fuzzy sets (IVFSs). These structures are useful on one hand to clarify the exact nature of the relationship between the above two common extensions of fuzzy sets, and on the other hand provide ...

Tailoring the SiC fiber-matrix interface in micron-sized fibers is crucial to attaining enhanced mechanical properties ceramic reinforced composites. Herein, authors report growth of boron nitride nanotubes (BNNT) onto (SiCf), creating a fuzzy fiber architecture promote surface area for defined load path matrix and improve these structures. Successful BNNT-growth achieved by oxide chemical vapo...