Notes on Intuitionistic Fuzzy Sets

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ISSN / EISSN : 1310-4926 / 2367-8283
Total articles ≅ 155
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, Dušana Babicová
Notes on Intuitionistic Fuzzy Sets, Volume 28; https://doi.org/10.7546/nifs.2022.28.3.228-237

Abstract:
The aim of this paper is to define a convergence in measure m, where m is an intuitionistic fuzzy state. We prove a version of weak law of large numbers for a sequence of independent intuitionistic fuzzy observables, too.
Notes on Intuitionistic Fuzzy Sets, Volume 28; https://doi.org/10.7546/nifs.2022.28.3.319-333

Abstract:
The present paper proposes the idea of formulating a new author-level citation metrics, quantifying the individual’s scientific output, which uses the concept of intuitionistic fuzzy sets. This new metrics gives more visibility to the proportion of direct self-citations and hidden (co-author or collaborative) self-citations in the form of an intuitionistic fuzzy pair. Examples are given retrieving the necessary information from Scopus, one of the largest databases of peer-reviewed literature, which algorithmically enables retrieval of one’s citations including and excluding their own or their co-authors’ self-citations, as well as the calculation of three different values of one’s h-index with and without these respectively. Linear and triangular graphical representations are given, as well as comparisons with the concept proposed in 2005 by Jorge E. Hirsch, the now famous h-index, and ideas for future elaboration of the concept of the new intuitionistic fuzzy sets based author-level metrics, or shortly IFALM.
, Hem Lata, Nitin Bharadwaj
Notes on Intuitionistic Fuzzy Sets, Volume 28; https://doi.org/10.7546/nifs.2022.28.3.280-292

Abstract:
In this paper, we initiate the study of a generalization of intuitionistic fuzzy primary ideals in Γ-ring by introducing intuitionistic fuzzy 2-absorbing primary ideals. We investigate the structural characteristics of intuitionistic fuzzy 2-absorbing primary ideals and study their properties.
Notes on Intuitionistic Fuzzy Sets, Volume 28; https://doi.org/10.7546/nifs.2022.28.3.293-305

Abstract:
In the interval-valued intuitionistic fuzzy environment unconscientious opinions may cause problems in the data processing. The problem is similar to those arising in the case of intuitionistic fuzzy sets. In this paper the previous ways of correction of the unconscientious experts’ evaluations in the interval-valued intuitionistic fuzzy sets environment are presented and some new algorithms are proposed.
Notes on Intuitionistic Fuzzy Sets, Volume 28; https://doi.org/10.7546/nifs.2022.28.3.334-342

Abstract:
Digital transformation necessitates fundamental changes in business processes, business models, and even cultures of the companies. DT projects provide a substantial value to the business competition and effect their market shares. In order to reach these results, digital transformation projects should be carefully analyzed and evaluated. In this paper, we focus on digital transformation project prioritization problem under multiple criteria. Just like many other technology related decisions, digital transformation problems are inherently uncertain, which leads researchers to employ the fuzzy set theory. Interval Valued Type-2 Intuitionistic Fuzzy Sets (IVT2IFS) are a relatively new extension of fuzzy sets which take into account membership and non-membership values as an interval. In this paper, we utilize Interval Valued Type-2 Intuitionistic Fuzzy TOPSIS method for a digital transformation project prioritization problem and apply the model to a real-world example.
, , , , Warsaw School of Information Technology
Notes on Intuitionistic Fuzzy Sets, Volume 28; https://doi.org/10.7546/nifs.2022.28.3.271-279

Abstract:
25 years ago, in [7], it was proved that the Hauber's law is an intuitionistic fuzzy tautology. In this case, the used implication was the standard intuitionistic fuzzy one. In the present paper, we check which intuitionistic fuzzy implications, defined during these 25 years, satisfy the Hauber's law as a tautology and which if them – as an intuitionistic fuzzy tautology.
, , Paweł Bujnowski, Warsaw School of Information Technology
Notes on Intuitionistic Fuzzy Sets, Volume 28; https://doi.org/10.7546/nifs.2022.28.3.193-202

Abstract:
In this paper, we continue our considerations concerning the ranking of intuitionistic fuzzy alternatives (options, variants, ...). We complete our previous considerations by showing in another way why the method proposed by us gives proper results. We stress when the method should be applied and emphasize its transparency.
, University of Texas at El Paso, Vladik Kreinovich
Notes on Intuitionistic Fuzzy Sets, Volume 28; https://doi.org/10.7546/nifs.2022.28.3.203-210

Abstract:
While modern computers are fast, there are still many important practical situations in which we need even faster computations. It turns out that, due to the fact that the speed of all communications is limited by the speed of light, the only way to make computers drastically faster is to drastically decrease the size of computer’s components. When we decrease their size to sizes comparable with micro-sizes of individual molecules, it becomes necessary to take into account specific physics of the micro-world – known as quantum physics. Traditional approach to designing quantum computers – i.e., computers that take effect of quantum physics into account – was based on using quantum analogies of bits (2-state systems). However, it has recently been shown that the use of multi-state quantum systems – called qudits – can make quantum computers even more efficient. When processing data, it is important to take into account that in practice, data always comes with uncertainty. In this paper, we analyze how to represent different types of uncertainty by qudits.
Notes on Intuitionistic Fuzzy Sets, Volume 28; https://doi.org/10.7546/nifs.2022.28.3.211-222

Abstract:
In the paper, for the first time, ideas for intuitionistic fuzzy modal feeble topological structures (of two types) are introduced, and some of their properties are discussed. These topologies are based on the intuitionistic fuzzy operation @, intuitionistic fuzzy operator W, on the two intuitionistic fuzzy modal operators □, ◊ and of simplest intuitionistic fuzzy extended Dα.
, Simeon Ribagin
Notes on Intuitionistic Fuzzy Sets, Volume 28; https://doi.org/10.7546/nifs.2022.28.3.223-227

Abstract:
In this paper we introduce an inverse operation to the operation “+” defined over intuitionistic fuzzy pairs. We investigate the main properties of the introduced operation and compared it to other “−” operations previously introduced over intuitionistic fuzzy pairs.
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