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Issue Info: 
  • Year: 

    2022
  • Volume: 

    19
  • Issue: 

    6
  • Pages: 

    141-160
Measures: 
  • Citations: 

    0
  • Views: 

    24
  • Downloads: 

    2
Abstract: 

This article advances the idea of extended picture fuzzy set (E-PFS), which is especially an augmentation of generalised spherical fuzzy set ((GSFS)) by releasing the restricted selection of $p$ in the description of (GSFS)s.Moreover, by the use of triangular conorm term in the description of E-PFS, it indeed widens the scope of E-PFS not only compared to picture fuzzy set (PFS) and spherical fuzzy set (SFS), but also to (GSFS). In the sequel, a given fundamental theorem concerning E-PFS depicts its more ability in comparison with the special types to deal with the ambiguity and uncertainty.Further, we propose a parametric E-PFS similarity measure which plays a critical role in information theory.In order for revealing the advantages and authenticity of E-PFS similarity measure, we exhibit its applicability in multiple criteria decision making entitling the recognition of building material, the recognition of patterns, and the selection process of mega project(s) in developing countries.Furthermore, through the experimental studies, we demonstrate that E-PFS is able to handle uncertain information in real-life decision procedures with no extra parameter, and it has a prominent role in decision making whenever the concepts of  PFS, SFS and (GSFS) do not make sense.

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Author(s): 

Guleria A. | Bajaj r.k.

Journal: 

Scientia Iranica

Issue Info: 
  • Year: 

    2021
  • Volume: 

    28
  • Issue: 

    1 (Transactions E: Industrial Engineering)
  • Pages: 

    516-531
Measures: 
  • Citations: 

    0
  • Views: 

    55
  • Downloads: 

    21
Abstract: 

An eigen fuzzy set of a fuzzy relation is often invariant under di , erent computational aspects. The present research introduces a novel concept of eigen spherical fuzzy set of spherical fuzzy relations along with various composition operators for the , rst time. This study proposed two algorithms to determine the greatest eigen spherical fuzzy sets and least eigen spherical fuzzy sets using the max 􀀀,min and min 􀀀,max composition operators, respectively, and illustrated the steps through ow charts. Further, two numerical examples related to di , erent , elds of decision-making problems were taken into account for illustrating the proposed methodology. The scope of future work in the , eld of image information retrieval, genetic algorithm for image reconstruction, and notion of eigen spherical fuzzy soft sets/matrices was duly outlined. The comparative remarks and advantages of the proposed eigen spherical fuzzy sets were also included for better readability.

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Author(s): 

SINGH ANUPAM K.

Issue Info: 
  • Year: 

    2017
  • Volume: 

    14
  • Issue: 

    3
  • Pages: 

    55-66
Measures: 
  • Citations: 

    0
  • Views: 

    850
  • Downloads: 

    225
Abstract: 

This work is towards the study of the relationship between fuzzy preordered sets and Alexandrov (left/right) fuzzy topologies based on generalized residuated lattices here the fuzzy sets are equipped with generalized residuated lattice in which the commutative property doesn’t' t hold. Further, the obtained results are used in the study of fuzzy automata theory.

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Author(s): 

AKRAM M.

Journal: 

Issue Info: 
  • Year: 

    2021
  • Volume: 

    2
  • Issue: 

    3
  • Pages: 

    85-98
Measures: 
  • Citations: 

    0
  • Views: 

    161
  • Downloads: 

    70
Abstract: 

In this research article, new fuzzy K-algebras, namely, spherical fuzzy K-algebras and (∈ , ∈ ∨ q)-spherical fuzzy K-algebras are constructed. Certain properties of these spherical fuzzy K-structures are investigated. The behavior of spherical fuzzy K-algebras under homomorphism is characterized. The spherical fuzzy K-algebra with thresholds is also delineated.

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Issue Info: 
  • Year: 

    2023
  • Volume: 

    12
  • Issue: 

    2
  • Pages: 

    244-256
Measures: 
  • Citations: 

    0
  • Views: 

    26
  • Downloads: 

    0
Abstract: 

A spherical fuzzy set is an advanced extension of classical fuzzy set in which it has an added advantage to deal with a wider sense of applicability in uncertain situations. In this paper, regular spherical fuzzy graphs and totally regular spherical fuzzy graphs are introduced. A necessary and sufficient condition for regular spherical fuzzy graphs is given. Some properties of regular and totally regular spherical fuzzy graphs are studied.

Yearly Impact: مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Issue Info: 
  • Year: 

    2012
  • Volume: 

    43
Measures: 
  • Views: 

    154
  • Downloads: 

    73
Abstract: 

THE NOTION OF ROUGH setS WAS INTRODUCED BY Z.PAWLAK IN 1982. THE MAIN OF THIS PAPER IS TO INTRODUCE AND STUDY set- VALUED HOMOMORPHISM ON SEMI-LATTICES AND TROUGH SEMI-LATTICE WITH RESPECT TO A set- VALUED HOMOMORPHISM. THIS PAPER DEALS WITH T- ROUGH set APPROACH ON SEMI-LATTICE THEORY. WE GENERALIZE SOME RESULTS IN T-ROUGH set AND APPROXIMATION THEORY THAT THOSE HAVE BEEN PROVED IN SEVERAL PAPERS.

Yearly Impact:   مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Issue Info: 
  • Year: 

    2011
  • Volume: 

    3
  • Issue: 

    -
  • Pages: 

    144-160
Measures: 
  • Citations: 

    1
  • Views: 

    193
  • Downloads: 

    0
Keywords: 
Abstract: 

Yearly Impact: مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Author(s): 

DAVAZ B. | CORSINI P.

Issue Info: 
  • Year: 

    2006
  • Volume: 

    3
  • Issue: 

    1
  • Pages: 

    59-75
Measures: 
  • Citations: 

    0
  • Views: 

    1223
  • Downloads: 

    280
Abstract: 

Small Polygroups are multi-valued systems that satisfy group like axioms. Using the notion of “belonging (Є)” and “quasi-coincidence (q)” of fuzzy points with fuzzy sets, the concept of (Є, Є Vq)-fuzzy subpolygroup is introduced. The study of (Є, Є Vq)-fuzzy normal subpolygroups of a polygroup are dealt with. Characterization and some of the fundamental properties of such fuzzy subpolygroups are obtained. (Є, Є Vq)-fuzzy cosets determined by (Є, Є Vq)-fuzzy subpolygroups are discussed. Finally, we give the definition of a fuzzy subpolygroup with thresholds which is a generalization of an ordinary fuzzy subpolygroup and an (Є, Є, Vq)-fuzzy subpolygroup and discus relations between two fuzzy subpolygroups.

Yearly Impact: مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Issue Info: 
  • Year: 

    2023
  • Volume: 

    20
  • Issue: 

    4
  • Pages: 

    105-116
Measures: 
  • Citations: 

    0
  • Views: 

    52
  • Downloads: 

    5
Abstract: 

The prime goal of this article is to initiate the notion of fuzzy    $\mu^*$-open(closed) sets and fuzzy $\mu^*$-continuous functions and characterize  them. These concepts are defined in a fuzzy topological space in presence of a  generalized fuzzy topology, which becomes a new tool to study fuzzy topological spaces. It is observed that this class of fuzzy sets fail to form a fuzzy topology but it form a generalized fuzzy topology. Furthermore, the relationship of these fuzzy sets and fuzzy continuity with some existing fuzzy notions are established. Also the notion of fuzzy $(\tau, \mu^*)$-open(closed) functions is introduced and their equivalent conditions with  fuzzy $\mu^*$-continuous functions are established.

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Author(s): 

BAREZI M. | NIKBAKHT T.

Issue Info: 
  • Year: 

    2011
  • Volume: 

    10
  • Issue: 

    4
  • Pages: 

    309-316
Measures: 
  • Citations: 

    0
  • Views: 

    1076
  • Downloads: 

    0
Abstract: 

Studying confined quantum systems (CQS) is very important in nano technology. One of the basic CQS is a hydrogen atom confined in spherical cavity. In this article, eigenenergies and eigenfunctions of hydrogen atom in spherical cavity are calculated, using linear variational method. B-splines are used as basis functions, which can easily construct the trial wave functions with appropriate boundary conditions. The main characteristics of B-spline are its high localization and its flexibility. Besides, these functions have numerical stability and are able to spend high volume of calculation with good accuracy. The energy levels as function of cavity radius are analyzed. To check the validity and efficiency of the proposed method, extensive convergence test of eigenenergies in different cavity sizes has been carried out.

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