Triangular dense fuzzy sets and new defuzzification methods

De, Sujit Kumar; Beg, Ismat

doi:10.3233/ifs-162160

Cited by 69 publications

(36 citation statements)

References 27 publications

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“…2.2 Cloudy normalized triangular fuzzy number [33,35] Definition 1 LetÃ be the fuzzy set whose components are the elements of R Â R, R being the set of real numbers with the membership grade satisfying the functional relation l : R Â R ! 0; 1 ½ .…”

Section: Normalized General Triangular Fuzzy Number (Ngtfn)mentioning

confidence: 99%

“…3.4 Cloudy fuzzy model [33,35] We rewrite the crisp problem (5) as D ¼ zÀ k T cþ hT 2 ¼ q T . Now, the membership function of the demand rate is given as Thus, the membership functions of the cloudy fuzzy objective and its corresponding order quantity are given as and l D; T ð Þ ¼…”

Section: 3a Solution Algorithmmentioning

confidence: 99%

“…Currently, Shekarian et al [32] wrote a comprehensive review of fuzzy inventory models. *For correspondence Alternatively, De and Beg [33,34] introduced dense fuzzy approach to capture the degree of learning experiences in recent times. De and Mahata [35] extended the dense fuzzy set to cloudy fuzzy set and gave a new formula for defuzzification.…”

Section: Introductionmentioning

confidence: 99%

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A comprehensive study of an economic order quantity model under fuzzy monsoon demand

Mahata

2019

Sādhanā

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This article deals with a classical economic order quantity (EOQ) model under monsoon type fuzzy demand rate. It is nothing but the generalization of cloudy fuzzy model. We split the EOQ model into three parts according to the real-time fuzzy components of the demand rate. To defuzzify the model we develop an algorithm and the solution is obtained with the help of a nonlinear optimization technique that requires maximum aspiration level of the fuzzy membership of the objective function. Moreover, for comparative study we take numerical results of the crisp, general fuzzy and cloudy fuzzy model also. By this study we have shown that the decision maker might have to choose the monsoon type fuzzy environment all the time to control the proposed inventory. Moreover, sensitivity analysis and graphical illustrations are made to justify the new fuzzy approach. adhana(0123456789().,-volV)FT3 ](0123456789().,-volV)

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Section: Normalized General Triangular Fuzzy Number (Ngtfn)mentioning

confidence: 99%

Section: 3a Solution Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A comprehensive study of an economic order quantity model under fuzzy monsoon demand

Mahata

2019

Sādhanā

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“…al. [11] proposed the dense fuzzy set for triangular fuzzy numbers. Then novel defuzzification method have been designed using crisp convergence rule.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Based Amalgamated Technique for Optimal Service Time in Distributed Computing System

Khandelwal¹

2019

IJRTE

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Due to the continuous progress of microprocessor technology and computer network, the distributed computing system (DCS) is currently one of the key areas of interest. The distributed computing system [DCS] provides the ability to share better performance and resources. There are a few registering nodes that communicate with one another through the message transient system. The advancement of new technologies in communication and information leads to the development of distributed systems. Task assignment is a critical step in the distributed computing system. For the proper utilization of available enumeration strength, it is necessary to allocate tasks to the processors, whose features are vastly suitable for execution. In this research paper, we have examined a task allocation problem with fuzzy performance time and fuzzy communication time, which is more realistic and general in nature. The problem of fuzzy task allocation is impure and it has been converted into a single number (i.e crisp one) using the fuzzy magnitude ranking method. Here, a serviceable model has been evolved to establish the system's optimum impedance time by optimal assignment of tasks based on triangular fuzzy execution time and triangular fuzzy communication time processor speed

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“…Though, the concept has already been developed by the researcher De and Beg [8] [9] . They developed the triangular dense fuzzy set (TDFS) along with the new defuzzification methods first then applied it in a triangular dense fuzzy neutrosophic set (TDFNS) explicitly.…”

Section: Introductionmentioning

confidence: 99%

Two decision makers’ single decision over a back order EOQ model with dense fuzzy demand rate

SumanMaity

Pal

2018

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In this article we develop an economic order quantity (EOQ) model with backlogging where the decision is made jointly from two decision maker supposed to view one of them as the industrialist (developer) and the other one as the responsible manager. The problem is handled under dense fuzzy environment. In fuzzy set theory the concept of dense fuzzy set is quite new which is depending upon the number of negotiations/ turnover made by industrial developers with the supplier of raw materials and/or the customers. Moreover, we have discussed the preliminary concept on dense fuzzy sets with their corresponding membership functions and appropriate defuzzification method. The numerical study explores that the solution under joint decision maker giving the finer optimum of the objective function. A sensitive analysis, graphical illustration and conclusion are made for justification the new approach.

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Triangular dense fuzzy sets and new defuzzification methods

Cited by 69 publications

References 27 publications

A comprehensive study of an economic order quantity model under fuzzy monsoon demand

A comprehensive study of an economic order quantity model under fuzzy monsoon demand

Fuzzy Based Amalgamated Technique for Optimal Service Time in Distributed Computing System

Two decision makers’ single decision over a back order EOQ model with dense fuzzy demand rate

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