Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

2024-08-28T16:11:09Z

Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

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	\| issue = [[Notes on Intuitionistic Fuzzy Sets/19/4\|"Notes on ~~IFS~~", Volume 19, 2013, Number 4]], pages 60—68		\| issue = [[Notes on Intuitionistic Fuzzy Sets/19/4\|"Notes on Intuitionistic Fuzzy Sets", Volume 19, 2013, Number 4]], pages 60—68
	\| file = NIFS-19-4-60-68.pdf		\| file = NIFS-19-4-60-68.pdf
	\| format = PDF		\| format = PDF

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2014-02-04T23:11:10Z

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{{issue/title
| title = Intuitionistic fuzzy optimization: Usage of hesitation index
| shortcut = nifs/19/4/60-68
}}
{{issue/author
| author = Arindam Garai
| institution = Department of Mathematics, Sonarpur Mahavidyalaya
| address = PSahid Biswanath Sarani, Sonarpur, South 24 Parganas, West Bengal, Pin 700149, India
| email-before-at = fuzzy_arindam
| email-after-at = yahoo.com
}}
{{issue/author
| author = Tapan Kumar Roy
| institution = Department of Mathematics, Bengal Engineering and Science University
| address = Shibpur, Howrah, West-Bengal, Pin 711103, India
| email-before-at = roy_t_k
| email-after-at = yahoo.co.in
}}
{{issue/data
| conference =
| issue = [[Notes on Intuitionistic Fuzzy Sets/19/4|"Notes on IFS", Volume 19, 2013, Number 4]], pages 60—68
| file = NIFS-19-4-60-68.pdf
| format = PDF
| size = 170
| abstract = This paper presents the concept of usage of hesitation index in optimization problem under uncertainty. Our technique is an extension of idea of intuitionistic fuzzy optimization technique, proposed by [[Plamen Angelov|Plamen P. Angelov]] in 1997, which is widely considered as a successful intuitionistic fuzzy optimization tool by researchers all over the world. It is well known that the advantages of the intuitionistic fuzzy optimization problems are twofold: firstly, they give the richest apparatus for formulation of optimization problems and on the other hand, the solution of intuitionistic fuzzy optimization problems can satisfy the objective(s) with bigger degree of satisfaction than the analogous fuzzy optimization problem and the crisp one. Angelov’s approach is an application of the [[intuitionistic fuzzy]] (IF) set concept to optimization problems. In his approach, the degree of acceptance is maximized while the degree of rejection is minimized. In our approach, not only the degree of acceptance is maximized and the degree of rejection is minimized but also the degree of hesitation is minimized. For the sake simplicity alone, the same problem, as studied by Angelov, is considered. Varied importance (and hence weights) to each of the degree of acceptance and the degree of rejection and the degree of hesitation have been given. Tables with these results are formulated and compared among.
| keywords = Fuzzy optimization, Intuitionistic fuzzy optimization, Hesitation index, Weight.
| ams = 90C70, 62C86, 65K10.
| references =
# Angelov, P. Optimization in an intuitionistic fuzzy environment, Fuzzy Sets and Systems, Vol. 86, 1997, 299–306.
# Atanassov, K. [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]], Fuzzy Sets and Systems, Vol. 20, 1986, 87–96.
# Atanassov, K. [[Issue:Ideas for intuitionistic fuzzy sets equations, inequalities and optimization|Ideas for intuitionistic fuzzy sets equations]], Notes on Intuitionistic Fuzzy Sets, Vol. 1, 1995, No. 1, 17–24.
# Atanassov, K. [[Issue:Two theorems for intuitionistic fuzzy sets|Two theorems for intuitionistic fuzzy sets]], Fuzzy Sets and Systems, Vol. 110, 2000, 267–269.
# Bellman, R. E., L. A. Zadeh. Decision making in a fuzzy environment, Management Science, Vol. 17, 1970, B141–B164.
# Roy, K. T., S. Banerjee. Solution of Single and Multi objective Stochastic Inventory Models with Fuzzy Cost Components by Intuitionistic Fuzzy Optimization Technique, Advances in Operation Research, Vol. 2010, 2010, Article ID 765278.
# Szmidt, E., J. Kacprzyk. Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 114, 1997, 505–518.
# Wikipedia Contributors. Intuitionism. Wikipedia, The Free Encyclopedia. [22 Dec., 2012 10:10 UTC] http://en.wikipedia.org/wiki/Intuitionism (accessed 22 Dec., 2012).

| citations =
| see-also =
}}

Issue:Intuitionistic fuzzy optimization: Usage of hesitation index - Revision history

Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

Vassia Atanassova: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title...