Hesitant intuitionistic fuzzy soft sets

Nazra, Admi; Syafruddin,; Lestari, Riri; Wicaksono, Gandung Catur

doi:10.1088/1742-6596/890/1/012118

Cited by 9 publications

(5 citation statements)

References 3 publications

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“…Yu and Wang [27] developed a group decision making method by studying on HIFR including improved fuzzy preference relation and consistency index. Nazra et al [13]- [14] combined hesitant intuitionistic fuzzy sets and soft sets and gave some operations of the sets, such as; complement, union and intersection. Also, Zhou and Xu [31] defined extended intuitionistic fuzzy number as an alternative to hesitant intuitionistic fuzzy sets.…”

Section: Introductionmentioning

confidence: 99%

Trapezoidal Hesitant Intuitionistic Fuzzy Numbers and Their Applications to Multiple-Criteria Decision Making Problems

Deli̇¹

2021

Preprint

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In this paper, we introduce an extension theory of the trapezoidal intuitionistic fuzzy numbers under intuitionistic hesitant fuzzy sets called trapezoidal hesitant intuitionistic fuzzy number (THIF-number). This new theory provides very effectively to model uncertainties of some events by several different trapezoidal intuitionistic fuzzy numbers based on the same support set in the set of real numbers R. Also, to demonstrate the application of this theory, a new multi-criteria decision-making(MCDM) method based on THIF-numbers is presented. To do this, we first propose operations of THIF-numbers with properties. We second give score, standard deviation degree, deviation degree of THIF-numbers to compare THIF-numbers. We third develop geometric operators and arithmetic operators of THIF-number. Finally, a numerical example is presented to illustrate the application of the developed method in THIF-numbers.

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Section: Introductionmentioning

confidence: 99%

Trapezoidal Hesitant Intuitionistic Fuzzy Numbers and Their Applications to Multiple-Criteria Decision Making Problems

Deli̇¹

2021

Preprint

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“…In addition, they introduced the distance measures on hesitant triangular IFS to measures the degree of dissimilarity between the sets. Nazra et al (2017) attempted to make an extension of hesitant intuitionistic fuzzy soft sets to the hesitant fuzzy soft sets by reunion of the concepts of soft sets and hesitant intuitionistic fuzzy sets. Faizi et al (2018) presented the distance measures between the hesitant intuitionistic fuzzy linguistic terms sets.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Multi-Criteria Decision Making Algorithm under Intuitionistic Hesitant Fuzzy Set with Novel Distance Measure

Saikia¹,

Garg²,

Dutta³

2020

Int J Math, Eng, Manag Sci

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Decision making under uncertainty is a crucial issue and most demanding area of research now a days. Intuitionistic hesitant fuzzy set plays important role in dealing with the circumstances in which decision makers judge an alternative with a collection membership grades and a collection of non-membership grades. This paper contributes a novel and advanced distance measure between Intuitionistic Hesitant fuzzy sets (IHFSs). A comparative analysis of the present distance measure with existing measures is performed first. Afterwards, a case study is carried in multi-criteria decision making problem to exhibit the applicability and rationality of the proposed distance measure. The advantage of the proposed distance measure over the existing distance measures is that in case of deficit number of elements in IHFs, a decision maker can evaluate distance measure without adding extra elements to make them equivalent and furthermore, it works in successfully in all the situations.

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“…The hesitant fuzzy soft sets were presented by Babitha and John [17] and Wang et.al [18]. While dual hesitant fuzzy soft sets were presented by Zhang and Shu [19] and He [20]. Hesitant intuitionistic fuzzy soft sets proposed by Nazra et al [19] and hesitant linguistic term fuzzy soft sets were presented by Liu et al [20].…”

Section: Introductionmentioning

confidence: 99%

“…While dual hesitant fuzzy soft sets were presented by Zhang and Shu [19] and He [20]. Hesitant intuitionistic fuzzy soft sets proposed by Nazra et al [19] and hesitant linguistic term fuzzy soft sets were presented by Liu et al [20]. The introduction of the fuzzy parameterized aspect is a significant milestone in the expansion of FSs and their generalizations.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Parameterized Hesitant F uzzy Linguistic Term Soft Sets FPHFLTSSs i n Multi Criteria Decision Making

Rodzi,

Ahmad*

2020

IJITEE

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In this research, we suggest the theory of FPHFLTSSs. This theory is combination of hesitant fuzzy linguistic term soft sets (HFLTSSs) and weights of criteria in the set namely fuzzy parameterized where all the information are given in a single set. Then, we address several related concepts and the fundamental operations of this theory, namely the addition, union and intersection. In addition, we introduce the concept of scores in FPHFLTSSs based on arithmetic mean, geometry mean, and fractional of FPHFLTSSs. Next, we introduce the concept of distance between two FPHFLTSSs based on these scores which can be used in TOPSIS approach. Three algorithms are introduced to cater some problems in algorithm discovered in previous study. The first algorithm is an easy and simple step without transforming hesitant linguistic fuzzy elements into hesitant fuzzy elements. This second approach is the extended version of Liu et al. in which they suggested their positive ideal solution (PIS) distance algorithm. For the third algorithm, we suggest FPHFLTSS's arithmetic mean distances, geometry mean, and fractional distances in TOPSIS approach. Lastly, these algorithms are used for the issue of decision making in FPHFLTSSs environment to show the feasibility and efficiency of our methods.

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Hesitant intuitionistic fuzzy soft sets

Cited by 9 publications

References 3 publications

Trapezoidal Hesitant Intuitionistic Fuzzy Numbers and Their Applications to Multiple-Criteria Decision Making Problems

Trapezoidal Hesitant Intuitionistic Fuzzy Numbers and Their Applications to Multiple-Criteria Decision Making Problems

Fuzzy Multi-Criteria Decision Making Algorithm under Intuitionistic Hesitant Fuzzy Set with Novel Distance Measure

Fuzzy Parameterized Hesitant F uzzy Linguistic Term Soft Sets FPHFLTSSs i n Multi Criteria Decision Making

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