scholarly journals t-Intuitionistic Fuzzy Subalgebra of BG-Algebras

2015 ◽  
Vol 3 ◽  
pp. 16-24 ◽  
Author(s):  
S.R. Barbhuiya
Keyword(s):  
Inverse Image ◽  
Intuitionistic Fuzzy

The aim of this paper is to introduced the notion of t-intuitionisticfuzzy subalgebra and t-intuitionistic fuzzy normal subalgebra of BG-algebras.We state and prove some theorems in t-intuitionistic fuzzy subalgebra andt-intuitionistic fuzzy normal subalgebra in BG-algebras. The homomorphicimage and inverse image are investigated in both t-intuitionistic fuzzysubalgebra and normal subalgebras.

scholarly journals Intuitionistic Fuzzy Normed Subrings and Intuitionistic Fuzzy Normed Ideals

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1594
Author(s):  
Nour Abed Alhaleem ◽  
Abd Ghafur Ahmad
Keyword(s):  
Inverse Image ◽  
Ring Homomorphism ◽  
Basic Properties ◽  
Intuitionistic Fuzzy ◽  
Normed Ring

The main goal of this paper is to introduce the notion of intuitionistic fuzzy normed rings and to establish basic properties related to it. We extend normed rings by incorporating the idea of intuitionistic fuzzy to normed rings, we develop a new structure of fuzzy rings which will be called an intuitionistic fuzzy normed ring. As an extension of intuitionistic fuzzy normed rings, we define the concept of intuitionistic fuzzy normed subrings and intuitionistic fuzzy normed ideals. Some essential operations specially subset, complement, union, intersection and several properties relating to the notion of generalized intuitionistic fuzzy normed rings are identified. Homomorphism and isomorphism of intuitionistic fuzzy normed subrings are characterized. We identify the image and the inverse image of intuitionistic fuzzy normed subrings under ring homomorphism and study their elementary properties. Some properties of intuitionistic fuzzy normed rings and relevant examples are presented.

Atanassov’s interval-valued intuitionistic fuzzy set theory applied in KU-subalgebras

2019 ◽  
Vol 11 (02) ◽  
pp. 1950023 ◽  
Author(s):  
Tapan Senapati ◽  
K. P. Shum
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Fuzzy Set Theory ◽  
Cartesian Product ◽  
Intuitionistic Fuzzy Set ◽  
Inverse Image ◽  
Fundamental Properties ◽  
Intuitionistic Fuzzy ◽  
Interval Valued

In this paper, the notion of interval-valued intuitionistic fuzzy (IVIF) [Formula: see text]-subalgebras of [Formula: see text]-algebras are introduced and some fundamental properties are discussed. The image and the inverse image of IVIF [Formula: see text]-subalgebras are defined and how the image and the inverse image of IVIF [Formula: see text]-subalgebras in [Formula: see text]-algebras become IVIF [Formula: see text]-subalgebras are studied. Moreover, the cartesian product of IVIF [Formula: see text]-subalgebras are given.

Decision making based on intuitionistic fuzzy preference relations with additive approximate consistency

2020 ◽  
Vol 39 (3) ◽  
pp. 4041-4058
Author(s):  
Fang Liu ◽  
Xu Tan ◽  
Hui Yang ◽  
Hui Zhao
Keyword(s):  
Decision Making ◽  
Decision Makers ◽  
Real Interval ◽  
Preference Relations ◽  
Intuitionistic Fuzzy ◽  
Proposed Model ◽  
Fuzzy Preference Relations ◽  
Novel Concept ◽  
Fuzzy Weights ◽  
Fuzzy Preference

Intuitionistic fuzzy preference relations (IFPRs) have the natural ability to reflect the positive, the negative and the non-determinative judgements of decision makers. A decision making model is proposed by considering the inherent property of IFPRs in this study, where the main novelty comes with the introduction of the concept of additive approximate consistency. First, the consistency definitions of IFPRs are reviewed and the underlying ideas are analyzed. Second, by considering the allocation of the non-determinacy degree of decision makers’ opinions, the novel concept of approximate consistency for IFPRs is proposed. Then the additive approximate consistency of IFPRs is defined and the properties are studied. Third, the priorities of alternatives are derived from IFPRs with additive approximate consistency by considering the effects of the permutations of alternatives and the allocation of the non-determinacy degree. The rankings of alternatives based on real, interval and intuitionistic fuzzy weights are investigated, respectively. Finally, some comparisons are reported by carrying out numerical examples to show the novelty and advantage of the proposed model. It is found that the proposed model can offer various decision schemes due to the allocation of the non-determinacy degree of IFPRs.

Dosimetry and optimization in digital radiography based on the contrast-detail resolution

2018 ◽  
Vol 6 (3) ◽  
Author(s):  
Wilson Otto Gomes Batista ◽  
Alexandre Gomes De Carvalho
Keyword(s):  
Image Quality ◽  
Inverse Image ◽  
Point Of View ◽  
Complete Analysis ◽  
Portable Devices ◽  
Evaluation Tool ◽  
Air Kerma ◽  
Direct Radiography ◽  
Definition Of ◽  
Entrance Surface Air Kerma

Contrast-detail (C-D) curves are useful in evaluating the radiographic image quality in a global way. The objective of the present study was to obtain the C-D curves and the inverse image quality figure. Both of these parameters were used as an evaluation tool for abdominal and chest imaging protocols. The C-D curves were obtained with the phantom CDRAD 2.0 in computerized radiography and the direct radiography systems (including portable devices). The protocols were 90 and 102 kV in the range of 2 to 20 mAs for the chest and 80 kV in the range of 10 to 80 mAs for the abdomen. The incident air kerma values were evaluated with a solid state sensor. The analysis of these C-D curves help to identify which technique would allow a lower value of the entrance surface air kerma, Ke, while maintaining the image quality from the point of view of C-D detectability. The results showed that the inverse image quality figure, IQFinv, varied little throughout the range of mAs, while the value of Ke varied linearly directly with the mAs values. Also, the complete analysis of the curves indicated that there was an increase in the definition of the details with increasing mAs. It can be concluded that, in the transition phase for the use of the new receptors, it is necessary to evaluate and adjust the practised protocols to ensure, at a minimum, the same levels of the image quality, taking into account the aspects of the radiation protection of the patient.

INTUITIONISTIC FUZZY INTERPRETATION OF INFORMATION MESSAGES

1999 ◽  
Vol 04 (01) ◽  
Author(s):  
K. Atanassov ◽  
D. Dimitrov
Keyword(s):  
Intuitionistic Fuzzy
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