Soft partial metric spaces

Altıntaş, İsmet; Taşköprü, Kemal; kyzy, Peyil Esengul

doi:10.1007/s00500-022-07313-3

Cited by 3 publications

(1 citation statement)

References 42 publications

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“…After Maji et al [10] and Ali et al [11] laid the foundations of the soft set operations, different interpretations have emerged about extending mathematical structures to the soft set theory (See [12][13][14][15][16][17][18], and others in them). The soft elements and elementary (ε-) soft set operations were brought forward by Das and Samanta [19], and some mathematical structures have been examined using these concepts by several authors [20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

A Soft Set Approach to Relations and Its Application to Decision Making

Taşköprü

KARAKÖSE

2023

Mathematical Sciences and Applications E-Notes

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One of the most useful mathematical tools for examining the relationships among objects is the concept of relations. Besides, it can also be necessary to throw light on uncertainties in these relationships. Soft set theory, in which different approaches used in defining the notions bring about different applications in many areas, enables to overcome uncertainties. The purpose of this paper is to define soft relations in a different way and to give a decision making method using the concept of soft relations. For this purpose, firstly, the soft relations are defined on the collection of soft elements, unlike the previous ones. After their basic properties are provided, the correspondence between the soft relations and the classical relations is investigated and some examples are given. Finally, an algorithm is proposed using the soft relations for solving decision making problems, where the decision is related to other circumstances, and given an illustrative example.

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Section: Introductionmentioning

confidence: 99%

A Soft Set Approach to Relations and Its Application to Decision Making

Taşköprü

KARAKÖSE

2023

Mathematical Sciences and Applications E-Notes

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Fixed point results in soft probabilistic metric spaces

Sonam,

Bhardwaj,

Mal

et al. 2024

J Anal

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Soft order topology and graph comparison based on soft order

Taşköprü

2023

MATH

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<abstract><p>Soft sets provide a suitable framework for representing and dealing with vagueness. A scenario for vagueness can be that alternatives are composed of specific factors and these factors have specific attributes. Towards this scenario, this paper introduces soft order and its associated order topology on the soft sets with a novel approach. We first present the definitions and properties of the soft order relations on the soft sets via soft elements. Next, we define soft order topology on any soft set and provide some properties of this topology. In order to implement what we introduced about the soft orders, we describe soft preference and soft utility mapping on the soft sets and we finally demonstrate a decision-making application over the soft orders intended for comparing graphs.</p></abstract>

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Soft partial metric spaces

Cited by 3 publications

References 42 publications

A Soft Set Approach to Relations and Its Application to Decision Making

A Soft Set Approach to Relations and Its Application to Decision Making

Fixed point results in soft probabilistic metric spaces

Soft order topology and graph comparison based on soft order

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